%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PLA009-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n006.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 3.96s 1.28s
% Output : CNFRefutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 57 ( 23 unt; 0 def)
% Number of atoms : 168 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 238 ( 127 ~; 111 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 94 !; 0 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ holds(X1,X2)
| ~ holds(X0,X2)
| holds(and(X0,X1),X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_2) ).
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/sandbox2/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/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_5) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',symmetry_of_differ) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_b) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_c) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state3) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state5) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state6) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state7) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state8) ).
fof(f31,negated_conjecture,
! [X0] : ~ holds(and(on(a,b),clear(d)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_AB_D) ).
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_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_94,plain,
differ(a,table),
inference(cnf_transformation,[],[f15]) ).
tcf(c_95,plain,
differ(b,c),
inference(cnf_transformation,[],[f16]) ).
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_110,negated_conjecture,
! [X0: $i] : ~ holds(and(on(a,b),clear(d)),X0),
inference(cnf_transformation,[],[f31]) ).
tcf(c_125,plain,
differ(b,a),
inference(superposition,[status(thm)],[c_91,c_90]) ).
tcf(c_129,plain,
differ(c,b),
inference(superposition,[status(thm)],[c_95,c_90]) ).
tcf(c_214,plain,
! [X0: $i] :
( ~ holds(clear(d),X0)
| ~ holds(on(a,b),X0) ),
inference(superposition,[status(thm)],[c_80,c_110]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i] :
( ~ differ(a,X0)
| ~ holds(on(a,b),X1)
| ~ holds(clear(d),do(pickup(X0),X1)) ),
inference(superposition,[status(thm)],[c_83,c_214]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i] :
( ~ differ(a,X0)
| ~ holds(empty,X1)
| ~ holds(clear(X0),X1)
| ~ holds(on(a,b),X1)
| ~ holds(on(X0,d),X1) ),
inference(superposition,[status(thm)],[c_82,c_285]) ).
tcf(c_338,plain,
! [X0: $i,X1: $i] :
( ~ differ(a,X0)
| ~ holds(holding(a),X1)
| ~ holds(clear(b),X1)
| ~ holds(empty,do(putdown(a,b),X1))
| ~ holds(clear(X0),do(putdown(a,b),X1))
| ~ holds(on(X0,d),do(putdown(a,b),X1)) ),
inference(superposition,[status(thm)],[c_86,c_304]) ).
tcf(c_441,plain,
! [X0: $i,X1: $i] :
( ~ differ(a,X0)
| ~ holds(holding(a),X1)
| ~ holds(clear(b),X1)
| ~ holds(clear(X0),do(putdown(a,b),X1))
| ~ holds(on(X0,d),do(putdown(a,b),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_338,c_85]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i] :
( ~ differ(a,X0)
| ~ holds(holding(a),X1)
| ~ holds(clear(b),X1)
| ~ holds(on(X0,d),X1)
| ~ holds(clear(X0),do(putdown(a,b),X1)) ),
inference(superposition,[status(thm)],[c_88,c_441]) ).
tcf(c_589,plain,
! [X0: $i,X1: $i] :
( ~ differ(a,X0)
| ~ differ(X0,b)
| ~ holds(holding(a),X1)
| ~ holds(clear(b),X1)
| ~ holds(clear(X0),X1)
| ~ holds(on(X0,d),X1) ),
inference(superposition,[status(thm)],[c_89,c_457]) ).
tcf(c_914,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ differ(a,X0)
| ~ differ(X0,b)
| ~ differ(X0,X1)
| ~ holds(on(X0,d),X2)
| ~ holds(holding(a),do(pickup(X1),X2))
| ~ holds(clear(b),do(pickup(X1),X2))
| ~ holds(clear(X0),do(pickup(X1),X2)) ),
inference(superposition,[status(thm)],[c_83,c_589]) ).
tcf(c_1271,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ differ(a,X2)
| ~ differ(X2,b)
| ~ differ(X2,X0)
| ~ holds(clear(X2),X1)
| ~ holds(on(X2,d),X1)
| ~ holds(holding(a),do(pickup(X0),X1))
| ~ holds(clear(b),do(pickup(X0),X1)) ),
inference(superposition,[status(thm)],[c_84,c_914]) ).
tcf(c_1881,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ differ(b,X0)
| ~ differ(a,X2)
| ~ differ(X2,b)
| ~ differ(X2,X0)
| ~ holds(clear(b),X1)
| ~ holds(clear(X2),X1)
| ~ holds(on(X2,d),X1)
| ~ holds(holding(a),do(pickup(X0),X1)) ),
inference(superposition,[status(thm)],[c_84,c_1271]) ).
tcf(c_2611,plain,
! [X0: $i,X1: $i] :
( ~ differ(b,a)
| ~ differ(a,table)
| ~ differ(a,X0)
| ~ differ(X0,b)
| ~ differ(X0,a)
| ~ holds(empty,X1)
| ~ holds(clear(b),X1)
| ~ holds(clear(a),X1)
| ~ holds(clear(X0),X1)
| ~ holds(on(X0,d),X1) ),
inference(superposition,[status(thm)],[c_81,c_1881]) ).
tcf(c_3367,plain,
! [X0: $i,X1: $i] :
( ~ differ(a,X0)
| ~ differ(X0,b)
| ~ differ(X0,a)
| ~ holds(empty,X1)
| ~ holds(clear(b),X1)
| ~ holds(clear(a),X1)
| ~ holds(clear(X0),X1)
| ~ holds(on(X0,d),X1) ),
inference(global_subsumption_just,[status(thm)],[c_2611,c_94,c_125,c_2611]) ).
tcf(c_3377,plain,
! [X0: $i,X1: $i] :
( ~ differ(a,X0)
| ~ differ(X0,b)
| ~ holds(empty,X1)
| ~ holds(clear(b),X1)
| ~ holds(clear(a),X1)
| ~ holds(clear(X0),X1)
| ~ holds(on(X0,d),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3367,c_90]) ).
tcf(c_3399,plain,
( ~ differ(c,b)
| ~ differ(a,c)
| ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(superposition,[status(thm)],[c_103,c_3377]) ).
tcf(c_3403,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3399,c_108,c_107,c_129,c_105,c_106,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA009-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 06:09:11 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 3.96/1.28 % SZS status Started for theBenchmark.p
% 3.96/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.96/1.28
% 3.96/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.96/1.28
% 3.96/1.28 % ------ iProver source info
% 3.96/1.28
% 3.96/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.96/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.96/1.28 % git: non_committed_changes: false
% 3.96/1.28
% 3.96/1.28 % ------ Parsing...% successful
% 3.96/1.28
% 3.96/1.28
% 3.96/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.96/1.28 % ------ Proving...
% 3.96/1.28 % ------ Problem Properties
% 3.96/1.28
% 3.96/1.28 %
% 3.96/1.28 % clauses 31
% 3.96/1.28 % conjectures 1
% 3.96/1.28 % EPR 12
% 3.96/1.28 % Horn 31
% 3.96/1.28 % unary 20
% 3.96/1.28 % binary 2
% 3.96/1.28 % lits 53
% 3.96/1.28 % lits eq 0
% 3.96/1.28 % fd_pure 0
% 3.96/1.28 % fd_pseudo 0
% 3.96/1.28 % fd_cond 0
% 3.96/1.28 % fd_pseudo_cond 0
% 3.96/1.28 % AC symbols 0
% 3.96/1.28
% 3.96/1.28 % ------ Input Options Time Limit: Unbounded
% 3.96/1.28
% 3.96/1.28
% 3.96/1.28 % ------
% 3.96/1.28 % Current options:
% 3.96/1.28 % ------
% 3.96/1.28
% 3.96/1.28
% 3.96/1.28 %
% 3.96/1.28
% 3.96/1.28 % ------ Proving...
% 3.96/1.28 %
% 3.96/1.28
% 3.96/1.28 % ------ Proving...
% 3.96/1.28 %
% 3.96/1.28
% 3.96/1.28 % ------ Proving...
% 3.96/1.28 %
% 3.96/1.28
% 3.96/1.28 % ------ Proving...
% 3.96/1.28 %
% 3.96/1.28
% 3.96/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.96/1.28
% 3.96/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.96/1.28
% 3.96/1.28
%------------------------------------------------------------------------------