%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PLA008-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:30:58 PM UTC 2026
% Result : Unsatisfiable 4.34s 2.15s
% Output : CNFRefutation 4.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 28
% Syntax : Number of formulae : 158 ( 43 unt; 0 def)
% Number of atoms : 539 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 840 ( 459 ~; 381 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 204 ( 0 sgn 204 !; 0 ?; 167 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ holds(X1,X2)
| ~ holds(X0,X2)
| holds(and(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',and_definition) ).
fof(f2,axiom,
! [X0,X1] :
( ~ differ(X0,table)
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1)
| holds(holding(X0),do(pickup(X0),X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_1) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ holds(empty,X2)
| ~ holds(clear(X1),X2)
| ~ holds(on(X1,X0),X2)
| holds(clear(X0),do(pickup(X1),X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_2) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ differ(X0,X2)
| ~ holds(on(X0,X1),X3)
| holds(on(X0,X1),do(pickup(X2),X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_3) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ differ(X0,X1)
| ~ holds(clear(X0),X2)
| holds(clear(X0),do(pickup(X1),X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_4) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| holds(empty,do(putdown(X0,X1),X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_1) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| holds(on(X0,X1),do(putdown(X0,X1),X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| holds(clear(X0),do(putdown(X0,X1),X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_3) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( ~ holds(on(X0,X1),X4)
| holds(on(X0,X1),do(putdown(X2,X3),X4)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_4) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ differ(X0,X2)
| ~ holds(clear(X0),X3)
| holds(clear(X0),do(putdown(X1,X2),X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_5) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',symmetry_of_differ) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_b) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).
fof(f14,axiom,
differ(a,d),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_d) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_b_c) ).
fof(f17,axiom,
differ(b,d),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_b_d) ).
fof(f18,axiom,
differ(b,table),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_b_table) ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_c_d) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_c_table) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_d_table) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state3) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state5) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state6) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state7) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state8) ).
fof(f30,axiom,
! [X0] : holds(clear(table),X0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',clear_table) ).
fof(f31,negated_conjecture,
! [X0] : ~ holds(and(on(b,d),on(a,c)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_BD_AC) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(and(X0,X2),X1)
| ~ holds(X2,X1)
| ~ holds(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( holds(holding(X0),do(pickup(X0),X1))
| ~ differ(X0,table)
| ~ holds(empty,X1)
| ~ holds(clear(X0),X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(clear(X1),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ holds(on(X0,X1),X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( holds(on(X0,X1),do(pickup(X3),X2))
| ~ differ(X0,X3)
| ~ holds(on(X0,X1),X2) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(clear(X0),do(pickup(X2),X1))
| ~ differ(X0,X2)
| ~ holds(clear(X0),X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(empty,do(putdown(X2,X0),X1))
| ~ holds(holding(X2),X1)
| ~ holds(clear(X0),X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(on(X2,X0),do(putdown(X2,X0),X1))
| ~ holds(holding(X2),X1)
| ~ holds(clear(X0),X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(clear(X2),do(putdown(X2,X0),X1))
| ~ holds(holding(X2),X1)
| ~ holds(clear(X0),X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( holds(on(X0,X1),do(putdown(X3,X4),X2))
| ~ holds(on(X0,X1),X2) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( holds(clear(X0),do(putdown(X3,X2),X1))
| ~ differ(X0,X2)
| ~ holds(clear(X0),X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( differ(X1,X0)
| ~ differ(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_91,plain,
differ(a,b),
inference(cnf_transformation,[],[f12]) ).
tcf(c_92,plain,
differ(a,c),
inference(cnf_transformation,[],[f13]) ).
tcf(c_93,plain,
differ(a,d),
inference(cnf_transformation,[],[f14]) ).
tcf(c_94,plain,
differ(a,table),
inference(cnf_transformation,[],[f15]) ).
tcf(c_95,plain,
differ(b,c),
inference(cnf_transformation,[],[f16]) ).
tcf(c_96,plain,
differ(b,d),
inference(cnf_transformation,[],[f17]) ).
tcf(c_97,plain,
differ(b,table),
inference(cnf_transformation,[],[f18]) ).
tcf(c_98,plain,
differ(c,d),
inference(cnf_transformation,[],[f19]) ).
tcf(c_99,plain,
differ(c,table),
inference(cnf_transformation,[],[f20]) ).
tcf(c_100,plain,
differ(d,table),
inference(cnf_transformation,[],[f21]) ).
tcf(c_103,plain,
holds(on(c,d),s0),
inference(cnf_transformation,[],[f24]) ).
tcf(c_105,plain,
holds(clear(a),s0),
inference(cnf_transformation,[],[f26]) ).
tcf(c_106,plain,
holds(clear(b),s0),
inference(cnf_transformation,[],[f27]) ).
tcf(c_107,plain,
holds(clear(c),s0),
inference(cnf_transformation,[],[f28]) ).
tcf(c_108,plain,
holds(empty,s0),
inference(cnf_transformation,[],[f29]) ).
tcf(c_109,plain,
! [X0: $i] : holds(clear(table),X0),
inference(cnf_transformation,[],[f30]) ).
tcf(c_110,negated_conjecture,
! [X0: $i] : ~ holds(and(on(b,d),on(a,c)),X0),
inference(cnf_transformation,[],[f31]) ).
tcf(c_229,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2,X1_iProver_putdown_2: iProver_putdown_2,X2_iProver_putdown_2: iProver_putdown_2] :
( holds(clear(X0_iProver_putdown_2),do(putdown(X2_iProver_putdown_2,X1_iProver_putdown_2),X0_iProver_holds_2))
| ~ differ(X0_iProver_putdown_2,X1_iProver_putdown_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2) ),
inference(subtyping,[status(esa)],[c_89]) ).
tcf(c_230,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2,X1_iProver_putdown_2: iProver_putdown_2,X2_iProver_putdown_2: iProver_putdown_2,X3_iProver_putdown_2: iProver_putdown_2] :
( holds(on(X0_iProver_putdown_2,X1_iProver_putdown_2),do(putdown(X2_iProver_putdown_2,X3_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(on(X0_iProver_putdown_2,X1_iProver_putdown_2),X0_iProver_holds_2) ),
inference(subtyping,[status(esa)],[c_88]) ).
tcf(c_231,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2,X1_iProver_putdown_2: iProver_putdown_2] :
( holds(clear(X1_iProver_putdown_2),do(putdown(X1_iProver_putdown_2,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(holding(X1_iProver_putdown_2),X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2) ),
inference(subtyping,[status(esa)],[c_87]) ).
tcf(c_232,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2,X1_iProver_putdown_2: iProver_putdown_2] :
( holds(on(X1_iProver_putdown_2,X0_iProver_putdown_2),do(putdown(X1_iProver_putdown_2,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(holding(X1_iProver_putdown_2),X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2) ),
inference(subtyping,[status(esa)],[c_86]) ).
tcf(c_233,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2,X1_iProver_putdown_2: iProver_putdown_2] :
( holds(empty,do(putdown(X1_iProver_putdown_2,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(holding(X1_iProver_putdown_2),X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2) ),
inference(subtyping,[status(esa)],[c_85]) ).
tcf(c_234,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2,X1_iProver_putdown_2: iProver_putdown_2] :
( holds(clear(X0_iProver_putdown_2),do(pickup(X1_iProver_putdown_2),X0_iProver_holds_2))
| ~ differ(X0_iProver_putdown_2,X1_iProver_putdown_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2) ),
inference(subtyping,[status(esa)],[c_84]) ).
tcf(c_235,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2,X1_iProver_putdown_2: iProver_putdown_2,X2_iProver_putdown_2: iProver_putdown_2] :
( holds(on(X0_iProver_putdown_2,X1_iProver_putdown_2),do(pickup(X2_iProver_putdown_2),X0_iProver_holds_2))
| ~ differ(X0_iProver_putdown_2,X2_iProver_putdown_2)
| ~ holds(on(X0_iProver_putdown_2,X1_iProver_putdown_2),X0_iProver_holds_2) ),
inference(subtyping,[status(esa)],[c_83]) ).
tcf(c_236,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2,X1_iProver_putdown_2: iProver_putdown_2] :
( holds(clear(X1_iProver_putdown_2),do(pickup(X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2)
| ~ holds(on(X0_iProver_putdown_2,X1_iProver_putdown_2),X0_iProver_holds_2) ),
inference(subtyping,[status(esa)],[c_82]) ).
tcf(c_237,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( holds(holding(X0_iProver_putdown_2),do(pickup(X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ differ(X0_iProver_putdown_2,table)
| ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2) ),
inference(subtyping,[status(esa)],[c_81]) ).
tcf(c_238,plain,
! [X0_iProver_holds_1: iProver_holds_1,X0_iProver_holds_2: iProver_holds_2,X1_iProver_holds_1: iProver_holds_1] :
( holds(and(X0_iProver_holds_1,X1_iProver_holds_1),X0_iProver_holds_2)
| ~ holds(X1_iProver_holds_1,X0_iProver_holds_2)
| ~ holds(X0_iProver_holds_1,X0_iProver_holds_2) ),
inference(subtyping,[status(esa)],[c_80]) ).
tcf(c_239,plain,
! [X0_iProver_holds_2: iProver_holds_2] : holds(clear(table),X0_iProver_holds_2),
inference(subtyping,[status(esa)],[c_109]) ).
tcf(c_250,plain,
differ(c,d),
inference(subtyping,[status(esa)],[c_98]) ).
tcf(c_252,plain,
differ(b,d),
inference(subtyping,[status(esa)],[c_96]) ).
tcf(c_255,plain,
differ(a,d),
inference(subtyping,[status(esa)],[c_93]) ).
tcf(c_258,plain,
! [X0_iProver_putdown_2: iProver_putdown_2,X1_iProver_putdown_2: iProver_putdown_2] :
( differ(X1_iProver_putdown_2,X0_iProver_putdown_2)
| ~ differ(X0_iProver_putdown_2,X1_iProver_putdown_2) ),
inference(subtyping,[status(esa)],[c_90]) ).
tcf(c_259,negated_conjecture,
! [X0_iProver_holds_2: iProver_holds_2] : ~ holds(and(on(b,d),on(a,c)),X0_iProver_holds_2),
inference(subtyping,[status(esa)],[c_110]) ).
tcf(c_336,plain,
( differ(c,a)
| ~ differ(a,c) ),
inference(instantiation,[status(thm)],[c_258]) ).
tcf(c_407,plain,
( differ(b,a)
| ~ differ(a,b) ),
inference(instantiation,[status(thm)],[c_258]) ).
tcf(c_553,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( holds(clear(a),do(pickup(c),X0_iProver_holds_2))
| ~ differ(a,c)
| ~ holds(clear(a),X0_iProver_holds_2) ),
inference(instantiation,[status(thm)],[c_234]) ).
tcf(c_554,plain,
( holds(clear(a),do(pickup(c),s0))
| ~ differ(a,c)
| ~ holds(clear(a),s0) ),
inference(instantiation,[status(thm)],[c_553]) ).
tcf(c_559,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( holds(clear(b),do(pickup(c),X0_iProver_holds_2))
| ~ differ(b,c)
| ~ holds(clear(b),X0_iProver_holds_2) ),
inference(instantiation,[status(thm)],[c_234]) ).
tcf(c_560,plain,
( holds(clear(b),do(pickup(c),s0))
| ~ differ(b,c)
| ~ holds(clear(b),s0) ),
inference(instantiation,[status(thm)],[c_559]) ).
tcf(c_723,plain,
( holds(clear(d),do(pickup(c),s0))
| ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ holds(on(c,d),s0) ),
inference(instantiation,[status(thm)],[c_236]) ).
tcf(c_745,plain,
differ(d,a),
inference(superposition,[status(thm)],[c_255,c_258]) ).
tcf(c_748,plain,
differ(d,b),
inference(superposition,[status(thm)],[c_252,c_258]) ).
tcf(c_750,plain,
differ(d,c),
inference(superposition,[status(thm)],[c_250,c_258]) ).
tcf(c_863,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(on(a,c),X0_iProver_holds_2)
| ~ holds(on(b,d),X0_iProver_holds_2) ),
inference(superposition,[status(thm)],[c_238,c_259]) ).
tcf(c_890,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(holding(b),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(on(a,c),do(putdown(b,d),X0_iProver_holds_2)) ),
inference(superposition,[status(thm)],[c_232,c_863]) ).
tcf(c_962,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(holding(b),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(on(a,c),X0_iProver_holds_2) ),
inference(superposition,[status(thm)],[c_230,c_890]) ).
tcf(c_971,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( ~ differ(a,X0_iProver_putdown_2)
| ~ holds(on(a,c),X0_iProver_holds_2)
| ~ holds(holding(b),do(pickup(X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(d),do(pickup(X0_iProver_putdown_2),X0_iProver_holds_2)) ),
inference(superposition,[status(thm)],[c_235,c_962]) ).
tcf(c_1119,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( ~ differ(a,X0_iProver_putdown_2)
| ~ differ(d,X0_iProver_putdown_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(on(a,c),X0_iProver_holds_2)
| ~ holds(holding(b),do(pickup(X0_iProver_putdown_2),X0_iProver_holds_2)) ),
inference(superposition,[status(thm)],[c_234,c_971]) ).
tcf(c_1230,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(on(a,c),X0_iProver_holds_2)
| ~ holds(on(b,d),X0_iProver_holds_2) ),
inference(resolution,[status(thm)],[c_259,c_238]) ).
tcf(c_1251,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(a,b)
| ~ differ(d,b)
| ~ differ(b,table)
| ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(on(a,c),X0_iProver_holds_2) ),
inference(superposition,[status(thm)],[c_237,c_1119]) ).
tcf(c_1259,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(on(a,c),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(empty,X0_iProver_holds_2) ),
inference(global_subsumption_just,[status(thm)],[c_1251,c_97,c_91,c_748,c_1251]) ).
tcf(c_1260,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(on(a,c),X0_iProver_holds_2) ),
inference(renaming,[status(thm)],[c_1259]) ).
tcf(c_1371,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2,X1_iProver_putdown_2: iProver_putdown_2] :
( ~ holds(on(a,c),X0_iProver_holds_2)
| ~ holds(on(b,d),do(putdown(X0_iProver_putdown_2,X1_iProver_putdown_2),X0_iProver_holds_2)) ),
inference(resolution,[status(thm)],[c_1230,c_230]) ).
tcf(c_1591,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(holding(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(empty,do(putdown(a,c),X0_iProver_holds_2))
| ~ holds(clear(d),do(putdown(a,c),X0_iProver_holds_2))
| ~ holds(clear(b),do(putdown(a,c),X0_iProver_holds_2)) ),
inference(superposition,[status(thm)],[c_232,c_1260]) ).
tcf(c_1719,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(d,c)
| ~ holds(holding(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(empty,do(putdown(a,c),X0_iProver_holds_2))
| ~ holds(clear(b),do(putdown(a,c),X0_iProver_holds_2)) ),
inference(superposition,[status(thm)],[c_229,c_1591]) ).
tcf(c_1804,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(holding(b),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(on(a,c),X0_iProver_holds_2) ),
inference(resolution,[status(thm)],[c_232,c_1371]) ).
tcf(c_1890,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( ~ differ(a,X0_iProver_putdown_2)
| ~ holds(on(a,c),X0_iProver_holds_2)
| ~ holds(holding(b),do(pickup(X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(d),do(pickup(X0_iProver_putdown_2),X0_iProver_holds_2)) ),
inference(resolution,[status(thm)],[c_1804,c_235]) ).
tcf(c_2037,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(clear(b),do(putdown(a,c),X0_iProver_holds_2))
| ~ holds(empty,do(putdown(a,c),X0_iProver_holds_2))
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(holding(a),X0_iProver_holds_2) ),
inference(global_subsumption_just,[status(thm)],[c_1719,c_750,c_1719]) ).
tcf(c_2038,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(holding(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(empty,do(putdown(a,c),X0_iProver_holds_2))
| ~ holds(clear(b),do(putdown(a,c),X0_iProver_holds_2)) ),
inference(renaming,[status(thm)],[c_2037]) ).
tcf(c_2040,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(b,c)
| ~ holds(holding(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(empty,do(putdown(a,c),X0_iProver_holds_2)) ),
inference(superposition,[status(thm)],[c_229,c_2038]) ).
tcf(c_2176,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(a,b)
| ~ differ(b,table)
| ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(on(a,c),X0_iProver_holds_2)
| ~ holds(clear(d),do(pickup(b),X0_iProver_holds_2)) ),
inference(resolution,[status(thm)],[c_1890,c_237]) ).
tcf(c_2320,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(on(a,c),X0_iProver_holds_2)
| ~ holds(clear(d),do(pickup(b),X0_iProver_holds_2)) ),
inference(global_subsumption_just,[status(thm)],[c_2176,c_97,c_91,c_2176]) ).
tcf(c_2339,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(d,b)
| ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(on(a,c),X0_iProver_holds_2) ),
inference(resolution,[status(thm)],[c_2320,c_234]) ).
tcf(c_2380,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(empty,do(putdown(a,c),X0_iProver_holds_2))
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(holding(a),X0_iProver_holds_2) ),
inference(global_subsumption_just,[status(thm)],[c_2040,c_95,c_2040]) ).
tcf(c_2381,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(holding(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(empty,do(putdown(a,c),X0_iProver_holds_2)) ),
inference(renaming,[status(thm)],[c_2380]) ).
tcf(c_2383,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(holding(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2) ),
inference(superposition,[status(thm)],[c_233,c_2381]) ).
tcf(c_2416,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( ~ differ(c,X0_iProver_putdown_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(holding(a),do(pickup(X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(d),do(pickup(X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(b),do(pickup(X0_iProver_putdown_2),X0_iProver_holds_2)) ),
inference(superposition,[status(thm)],[c_234,c_2383]) ).
tcf(c_2422,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(on(a,c),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(empty,X0_iProver_holds_2) ),
inference(global_subsumption_just,[status(thm)],[c_2339,c_1260]) ).
tcf(c_2423,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(on(a,c),X0_iProver_holds_2) ),
inference(renaming,[status(thm)],[c_2422]) ).
tcf(c_2477,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(holding(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(empty,do(putdown(a,c),X0_iProver_holds_2))
| ~ holds(clear(d),do(putdown(a,c),X0_iProver_holds_2))
| ~ holds(clear(b),do(putdown(a,c),X0_iProver_holds_2)) ),
inference(resolution,[status(thm)],[c_2423,c_232]) ).
tcf(c_2856,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(holding(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(d),do(putdown(a,c),X0_iProver_holds_2))
| ~ holds(clear(b),do(putdown(a,c),X0_iProver_holds_2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2477,c_233]) ).
tcf(c_2870,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(d,c)
| ~ holds(holding(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),do(putdown(a,c),X0_iProver_holds_2)) ),
inference(resolution,[status(thm)],[c_2856,c_229]) ).
tcf(c_3091,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(c,a)
| ~ differ(a,table)
| ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(b),do(pickup(a),X0_iProver_holds_2)) ),
inference(superposition,[status(thm)],[c_237,c_2416]) ).
tcf(c_3098,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(clear(b),do(putdown(a,c),X0_iProver_holds_2))
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(holding(a),X0_iProver_holds_2) ),
inference(global_subsumption_just,[status(thm)],[c_2870,c_750,c_2870]) ).
tcf(c_3099,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(holding(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),do(putdown(a,c),X0_iProver_holds_2)) ),
inference(renaming,[status(thm)],[c_3098]) ).
tcf(c_3127,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(b,c)
| ~ holds(holding(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2) ),
inference(resolution,[status(thm)],[c_3099,c_229]) ).
tcf(c_3364,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(holding(a),X0_iProver_holds_2) ),
inference(global_subsumption_just,[status(thm)],[c_3127,c_2383]) ).
tcf(c_3365,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(holding(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2) ),
inference(renaming,[status(thm)],[c_3364]) ).
tcf(c_3382,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(a,table)
| ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(c),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(d),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(b),do(pickup(a),X0_iProver_holds_2)) ),
inference(resolution,[status(thm)],[c_3365,c_237]) ).
tcf(c_3977,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(clear(b),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(d),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(c),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(empty,X0_iProver_holds_2) ),
inference(global_subsumption_just,[status(thm)],[c_3382,c_94,c_3382]) ).
tcf(c_3978,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(c),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(d),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(b),do(pickup(a),X0_iProver_holds_2)) ),
inference(renaming,[status(thm)],[c_3977]) ).
tcf(c_4000,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(c,a)
| ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(b),do(pickup(a),X0_iProver_holds_2)) ),
inference(resolution,[status(thm)],[c_3978,c_234]) ).
tcf(c_4268,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(clear(b),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(d),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(empty,X0_iProver_holds_2) ),
inference(global_subsumption_just,[status(thm)],[c_4000,c_94,c_92,c_336,c_3091]) ).
tcf(c_4269,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(b),do(pickup(a),X0_iProver_holds_2)) ),
inference(renaming,[status(thm)],[c_4268]) ).
tcf(c_4291,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(d,a)
| ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),do(pickup(a),X0_iProver_holds_2)) ),
inference(resolution,[status(thm)],[c_4269,c_234]) ).
tcf(c_4740,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(b),do(pickup(a),X0_iProver_holds_2)) ),
inference(global_subsumption_just,[status(thm)],[c_3091,c_92,c_336,c_4000]) ).
tcf(c_4742,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(b,a)
| ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(clear(d),do(pickup(a),X0_iProver_holds_2)) ),
inference(superposition,[status(thm)],[c_234,c_4740]) ).
tcf(c_5061,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(clear(b),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(empty,X0_iProver_holds_2) ),
inference(global_subsumption_just,[status(thm)],[c_4291,c_745,c_4291]) ).
tcf(c_5062,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),do(pickup(a),X0_iProver_holds_2)) ),
inference(renaming,[status(thm)],[c_5061]) ).
tcf(c_5088,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(b,a)
| ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2) ),
inference(resolution,[status(thm)],[c_5062,c_234]) ).
tcf(c_7000,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(empty,X0_iProver_holds_2) ),
inference(global_subsumption_just,[status(thm)],[c_5088,c_91,c_407,c_5088]) ).
tcf(c_7001,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2) ),
inference(renaming,[status(thm)],[c_7000]) ).
tcf(c_7035,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( ~ holds(holding(c),X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2)
| ~ holds(empty,do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(a),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(d),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(b),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2)) ),
inference(resolution,[status(thm)],[c_7001,c_231]) ).
tcf(c_9826,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( ~ holds(holding(c),X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2)
| ~ holds(clear(a),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(d),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(b),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7035,c_233]) ).
tcf(c_10383,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( ~ differ(a,X0_iProver_putdown_2)
| ~ holds(holding(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2)
| ~ holds(clear(d),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(b),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2)) ),
inference(resolution,[status(thm)],[c_9826,c_229]) ).
tcf(c_11264,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(c,a)
| ~ differ(a,table)
| ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(b),do(pickup(a),X0_iProver_holds_2)) ),
inference(superposition,[status(thm)],[c_237,c_2416]) ).
tcf(c_11296,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(b),do(pickup(a),X0_iProver_holds_2)) ),
inference(global_subsumption_just,[status(thm)],[c_11264,c_92,c_336,c_4000]) ).
tcf(c_11298,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(b,a)
| ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(clear(d),do(pickup(a),X0_iProver_holds_2)) ),
inference(superposition,[status(thm)],[c_234,c_11296]) ).
tcf(c_11300,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(clear(d),do(pickup(a),X0_iProver_holds_2))
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(empty,X0_iProver_holds_2) ),
inference(global_subsumption_just,[status(thm)],[c_11298,c_91,c_407,c_4742]) ).
tcf(c_11301,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(clear(d),do(pickup(a),X0_iProver_holds_2)) ),
inference(renaming,[status(thm)],[c_11300]) ).
tcf(c_11302,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(d,a)
| ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2) ),
inference(superposition,[status(thm)],[c_234,c_11301]) ).
tcf(c_11322,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(empty,X0_iProver_holds_2) ),
inference(global_subsumption_just,[status(thm)],[c_11302,c_91,c_407,c_5088]) ).
tcf(c_11323,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2) ),
inference(renaming,[status(thm)],[c_11322]) ).
tcf(c_11326,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( ~ holds(holding(c),X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2)
| ~ holds(empty,do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(a),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(d),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(b),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2)) ),
inference(superposition,[status(thm)],[c_231,c_11323]) ).
tcf(c_11729,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( ~ holds(holding(c),X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2)
| ~ holds(clear(b),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(d),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(a),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2)) ),
inference(global_subsumption_just,[status(thm)],[c_11326,c_9826]) ).
tcf(c_11730,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( ~ holds(holding(c),X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2)
| ~ holds(clear(a),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(d),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(b),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2)) ),
inference(renaming,[status(thm)],[c_11729]) ).
tcf(c_11731,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( ~ differ(d,X0_iProver_putdown_2)
| ~ holds(holding(c),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2)
| ~ holds(clear(a),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2))
| ~ holds(clear(b),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2)) ),
inference(superposition,[status(thm)],[c_229,c_11730]) ).
tcf(c_11820,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( ~ differ(a,X0_iProver_putdown_2)
| ~ differ(d,X0_iProver_putdown_2)
| ~ holds(holding(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2)
| ~ holds(clear(b),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2)) ),
inference(superposition,[status(thm)],[c_229,c_11731]) ).
tcf(c_14866,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( ~ differ(a,X0_iProver_putdown_2)
| ~ differ(d,X0_iProver_putdown_2)
| ~ holds(holding(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2)
| ~ holds(clear(b),do(putdown(c,X0_iProver_putdown_2),X0_iProver_holds_2)) ),
inference(resolution,[status(thm)],[c_10383,c_229]) ).
tcf(c_16118,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( ~ differ(a,X0_iProver_putdown_2)
| ~ differ(d,X0_iProver_putdown_2)
| ~ differ(b,X0_iProver_putdown_2)
| ~ holds(holding(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2) ),
inference(superposition,[status(thm)],[c_229,c_11820]) ).
tcf(c_18147,plain,
! [X0_iProver_holds_2: iProver_holds_2,X0_iProver_putdown_2: iProver_putdown_2] :
( ~ differ(a,X0_iProver_putdown_2)
| ~ differ(d,X0_iProver_putdown_2)
| ~ differ(b,X0_iProver_putdown_2)
| ~ holds(holding(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(clear(X0_iProver_putdown_2),X0_iProver_holds_2) ),
inference(resolution,[status(thm)],[c_14866,c_229]) ).
tcf(c_20147,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(a,table)
| ~ differ(d,table)
| ~ differ(b,table)
| ~ holds(holding(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2) ),
inference(superposition,[status(thm)],[c_239,c_16118]) ).
tcf(c_20463,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(holding(c),X0_iProver_holds_2) ),
inference(global_subsumption_just,[status(thm)],[c_20147,c_100,c_97,c_94,c_20147]) ).
tcf(c_20464,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(holding(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2) ),
inference(renaming,[status(thm)],[c_20463]) ).
tcf(c_23326,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(clear(b),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(holding(c),X0_iProver_holds_2) ),
inference(global_subsumption_just,[status(thm)],[c_18147,c_20464]) ).
tcf(c_23327,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ holds(holding(c),X0_iProver_holds_2)
| ~ holds(clear(a),X0_iProver_holds_2)
| ~ holds(clear(d),X0_iProver_holds_2)
| ~ holds(clear(b),X0_iProver_holds_2) ),
inference(renaming,[status(thm)],[c_23326]) ).
tcf(c_23365,plain,
! [X0_iProver_holds_2: iProver_holds_2] :
( ~ differ(c,table)
| ~ holds(empty,X0_iProver_holds_2)
| ~ holds(clear(c),X0_iProver_holds_2)
| ~ holds(clear(a),do(pickup(c),X0_iProver_holds_2))
| ~ holds(clear(d),do(pickup(c),X0_iProver_holds_2))
| ~ holds(clear(b),do(pickup(c),X0_iProver_holds_2)) ),
inference(resolution,[status(thm)],[c_23327,c_237]) ).
tcf(c_23366,plain,
( ~ differ(c,table)
| ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ holds(clear(a),do(pickup(c),s0))
| ~ holds(clear(d),do(pickup(c),s0))
| ~ holds(clear(b),do(pickup(c),s0)) ),
inference(instantiation,[status(thm)],[c_23365]) ).
tcf(c_23367,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_23366,c_723,c_560,c_554,c_103,c_105,c_106,c_107,c_92,c_95,c_99,c_108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA008-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 06:12:55 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39
% 0.13/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.39
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 4.34/2.15 % SZS status Started for theBenchmark.p
% 4.34/2.15 % SZS status Unsatisfiable for theBenchmark.p
% 4.34/2.15
% 4.34/2.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.34/2.15
% 4.34/2.15 % ------ iProver source info
% 4.34/2.15
% 4.34/2.15 % git: date: 2026-07-19 20:42:38 +0200
% 4.34/2.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.34/2.15 % git: non_committed_changes: false
% 4.34/2.15
% 4.34/2.15 % ------ Parsing...% successful
% 4.34/2.15
% 4.34/2.15
% 4.34/2.15 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.34/2.15
% 4.34/2.15 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.34/2.15
% 4.34/2.15 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.34/2.15 % ------ Proving...
% 4.34/2.15 % ------ Problem Properties
% 4.34/2.15
% 4.34/2.15 %
% 4.34/2.15 % clauses 31
% 4.34/2.15 % conjectures 1
% 4.34/2.15 % EPR 12
% 4.34/2.15 % Horn 31
% 4.34/2.15 % unary 20
% 4.34/2.15 % binary 2
% 4.34/2.15 % lits 53
% 4.34/2.15 % lits eq 0
% 4.34/2.15 % fd_pure 0
% 4.34/2.15 % fd_pseudo 0
% 4.34/2.15 % fd_cond 0
% 4.34/2.15 % fd_pseudo_cond 0
% 4.34/2.15 % AC symbols 0
% 4.34/2.15
% 4.34/2.15 % ------ Input Options Time Limit: Unbounded
% 4.34/2.15
% 4.34/2.15
% 4.34/2.15 % ------
% 4.34/2.15 % Current options:
% 4.34/2.15 % ------
% 4.34/2.15
% 4.34/2.15
% 4.34/2.15 %
% 4.34/2.15
% 4.34/2.15 % ------ Proving...
% 4.34/2.15 %
% 4.34/2.15
% 4.34/2.15 % SZS status Unsatisfiable for theBenchmark.p
% 4.34/2.15
% 4.34/2.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.34/2.15
% 4.34/2.15
%------------------------------------------------------------------------------