%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PLA014-2 : 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 : n013.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 02:30:59 PM UTC 2026
% Result : Unsatisfiable 2.36s 1.29s
% Output : CNFRefutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 23
% Syntax : Number of formulae : 73 ( 27 unt; 3 def)
% Number of atoms : 211 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 238 ( 130 ~; 108 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 105 !; 0 ?; 72 :)
% 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(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(f8,axiom,
! [X2,X0,X1] :
( ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| holds(clear(X0),do(putdown(X0,X1),X2)) ),
file('/export/starexec/sandbox2/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/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(f18,axiom,
differ(b,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_table) ).
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(b,c),on(a,b)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ABC) ).
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_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_94,plain,
differ(a,table),
inference(cnf_transformation,[],[f15]) ).
tcf(c_95,plain,
differ(b,c),
inference(cnf_transformation,[],[f16]) ).
tcf(c_97,plain,
differ(b,table),
inference(cnf_transformation,[],[f18]) ).
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(b,c),on(a,b)),X0),
inference(cnf_transformation,[],[f31]) ).
tcf(c_229,definition,
iPr_def_10 = on(b,c),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_230,definition,
iPr_def_11 = on(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_231,definition,
iPr_def_12 = and(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_232,negated_conjecture,
! [X0: $i] : ~ holds(iPr_def_12,X0),
inference(demodulation,[status(thm)],[c_110,c_230,c_229,c_231]) ).
tcf(c_565,plain,
differ(b,a),
inference(superposition,[status(thm)],[c_91,c_90]) ).
tcf(c_569,plain,
differ(c,b),
inference(superposition,[status(thm)],[c_95,c_90]) ).
tcf(c_582,plain,
! [X0: $i] :
( holds(iPr_def_12,X0)
| ~ holds(iPr_def_11,X0)
| ~ holds(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_231,c_80]) ).
tcf(c_583,plain,
! [X0: $i] :
( ~ holds(iPr_def_11,X0)
| ~ holds(iPr_def_10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_582,c_232]) ).
tcf(c_591,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(iPr_def_10,do(putdown(X1,X2),X0))
| ~ holds(on(b,c),X0) ),
inference(superposition,[status(thm)],[c_229,c_88]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i,X2: $i] :
( holds(iPr_def_10,do(putdown(X1,X2),X0))
| ~ holds(iPr_def_10,X0) ),
inference(light_normalisation,[status(thm)],[c_591,c_229]) ).
tcf(c_640,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ holds(iPr_def_10,X2)
| ~ holds(iPr_def_11,do(putdown(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_596,c_583]) ).
tcf(c_655,plain,
! [X0: $i,X1: $i] :
( holds(iPr_def_10,do(pickup(X1),X0))
| ~ differ(b,X1)
| ~ holds(on(b,c),X0) ),
inference(superposition,[status(thm)],[c_229,c_83]) ).
tcf(c_661,plain,
! [X0: $i,X1: $i] :
( holds(iPr_def_10,do(pickup(X1),X0))
| ~ differ(b,X1)
| ~ holds(iPr_def_10,X0) ),
inference(light_normalisation,[status(thm)],[c_655,c_229]) ).
tcf(c_679,plain,
! [X0: $i] :
( holds(iPr_def_10,do(putdown(b,c),X0))
| ~ holds(holding(b),X0)
| ~ holds(clear(c),X0) ),
inference(superposition,[status(thm)],[c_229,c_86]) ).
tcf(c_680,plain,
! [X0: $i] :
( holds(iPr_def_11,do(putdown(a,b),X0))
| ~ holds(holding(a),X0)
| ~ holds(clear(b),X0) ),
inference(superposition,[status(thm)],[c_230,c_86]) ).
tcf(c_857,plain,
! [X0: $i] :
( ~ holds(iPr_def_10,X0)
| ~ holds(holding(a),X0)
| ~ holds(clear(b),X0) ),
inference(superposition,[status(thm)],[c_680,c_640]) ).
tcf(c_920,plain,
! [X0: $i,X1: $i] :
( ~ differ(b,X0)
| ~ holds(clear(b),X1)
| ~ holds(iPr_def_10,do(pickup(X0),X1))
| ~ holds(holding(a),do(pickup(X0),X1)) ),
inference(superposition,[status(thm)],[c_84,c_857]) ).
tcf(c_968,plain,
! [X0: $i] :
( ~ differ(a,table)
| ~ differ(b,a)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(iPr_def_10,do(pickup(a),X0)) ),
inference(superposition,[status(thm)],[c_81,c_920]) ).
tcf(c_969,plain,
! [X0: $i] :
( ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(iPr_def_10,do(pickup(a),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_968,c_94,c_565]) ).
tcf(c_983,plain,
! [X0: $i] :
( ~ differ(b,a)
| ~ holds(iPr_def_10,X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0) ),
inference(superposition,[status(thm)],[c_661,c_969]) ).
tcf(c_984,plain,
! [X0: $i] :
( ~ holds(iPr_def_10,X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_983,c_565]) ).
tcf(c_1044,plain,
! [X0: $i,X1: $i] :
( ~ holds(holding(b),X1)
| ~ holds(clear(X0),X1)
| ~ holds(iPr_def_10,do(putdown(b,X0),X1))
| ~ holds(empty,do(putdown(b,X0),X1))
| ~ holds(clear(a),do(putdown(b,X0),X1)) ),
inference(superposition,[status(thm)],[c_87,c_984]) ).
tcf(c_1358,plain,
! [X0: $i,X1: $i] :
( ~ holds(holding(b),X1)
| ~ holds(clear(X0),X1)
| ~ holds(iPr_def_10,do(putdown(b,X0),X1))
| ~ holds(clear(a),do(putdown(b,X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1044,c_85]) ).
tcf(c_1371,plain,
! [X0: $i,X1: $i] :
( ~ differ(a,X0)
| ~ holds(holding(b),X1)
| ~ holds(clear(a),X1)
| ~ holds(clear(X0),X1)
| ~ holds(iPr_def_10,do(putdown(b,X0),X1)) ),
inference(superposition,[status(thm)],[c_89,c_1358]) ).
tcf(c_1622,plain,
! [X0: $i] :
( ~ differ(a,c)
| ~ holds(holding(b),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),X0) ),
inference(superposition,[status(thm)],[c_679,c_1371]) ).
tcf(c_1623,plain,
! [X0: $i] :
( ~ holds(holding(b),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1622,c_92]) ).
tcf(c_1642,plain,
! [X0: $i,X1: $i] :
( ~ differ(c,X0)
| ~ holds(clear(c),X1)
| ~ holds(holding(b),do(pickup(X0),X1))
| ~ holds(clear(a),do(pickup(X0),X1)) ),
inference(superposition,[status(thm)],[c_84,c_1623]) ).
tcf(c_1936,plain,
! [X0: $i] :
( ~ differ(c,b)
| ~ differ(b,table)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0)) ),
inference(superposition,[status(thm)],[c_81,c_1642]) ).
tcf(c_1937,plain,
! [X0: $i] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1936,c_569,c_97]) ).
tcf(c_1952,plain,
! [X0: $i] :
( ~ differ(a,b)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0) ),
inference(superposition,[status(thm)],[c_84,c_1937]) ).
tcf(c_1957,plain,
! [X0: $i] :
( ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1952,c_91]) ).
tcf(c_1972,plain,
( ~ holds(empty,s0)
| ~ holds(clear(a),s0)
| ~ holds(clear(b),s0) ),
inference(superposition,[status(thm)],[c_107,c_1957]) ).
tcf(c_1977,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1972,c_108,c_105,c_106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA014-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 06:10:51 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 2.36/1.29 % SZS status Started for theBenchmark.p
% 2.36/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.36/1.29
% 2.36/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.36/1.29
% 2.36/1.29 % ------ iProver source info
% 2.36/1.29
% 2.36/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.36/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.36/1.29 % git: non_committed_changes: false
% 2.36/1.29
% 2.36/1.29 % ------ Parsing...% successful
% 2.36/1.29
% 2.36/1.29
% 2.36/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.36/1.29
% 2.36/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.36/1.29
% 2.36/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.36/1.29
% 2.36/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.36/1.29 % ------ Proving...
% 2.36/1.29 % ------ Problem Properties
% 2.36/1.29
% 2.36/1.29 %
% 2.36/1.29 % clauses 34
% 2.36/1.29 % conjectures 1
% 2.36/1.29 % EPR 13
% 2.36/1.29 % Horn 34
% 2.36/1.29 % unary 23
% 2.36/1.29 % binary 2
% 2.36/1.29 % lits 56
% 2.36/1.29 % lits eq 3
% 2.36/1.29 % fd_pure 0
% 2.36/1.29 % fd_pseudo 0
% 2.36/1.29 % fd_cond 0
% 2.36/1.29 % fd_pseudo_cond 0
% 2.36/1.29 % AC symbols 0
% 2.36/1.29
% 2.36/1.29 % ------ Schedule dynamic 5 is on
% 2.36/1.29
% 2.36/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.36/1.29
% 2.36/1.29
% 2.36/1.29 % ------
% 2.36/1.29 % Current options:
% 2.36/1.29 % ------
% 2.36/1.29
% 2.36/1.29
% 2.36/1.29 %
% 2.36/1.29
% 2.36/1.29 % ------ Proving...
% 2.36/1.29 %
% 2.36/1.29
% 2.36/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.36/1.29
% 2.36/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.36/1.30
% 2.36/1.30
%------------------------------------------------------------------------------