%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN624-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.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 03:41:14 PM UTC 2026
% Result : Unsatisfiable 3.85s 1.27s
% Output : CNFRefutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 48 ( 28 unt; 7 def)
% Number of atoms : 141 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 38 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).
fof(f2,negated_conjecture,
! [X0] : p5(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_2) ).
fof(f11,negated_conjecture,
! [X0] : p10(f16(X0,f14(f15(f7(c25)))),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_11) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_21) ).
fof(f26,negated_conjecture,
! [X0] : p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_26) ).
fof(f28,negated_conjecture,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_28) ).
fof(f32,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p5(X0,X2)
| ~ p10(X1,X3)
| p10(f13(X0,X1),f13(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_32) ).
tcf(c_84,negated_conjecture,
! [X0: $i] : p10(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_85,negated_conjecture,
! [X0: $i] : p5(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_94,negated_conjecture,
! [X0: $i] : p10(f16(X0,f14(f15(f7(c25)))),X0),
inference(cnf_transformation,[],[f11]) ).
tcf(c_104,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p10(X1,X2)
| ~ p10(X0,X2)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_109,negated_conjecture,
! [X0: $i] : p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))),
inference(cnf_transformation,[],[f26]) ).
tcf(c_111,negated_conjecture,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
inference(cnf_transformation,[],[f28]) ).
tcf(c_115,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p10(f13(X2,X0),f13(X3,X1))
| ~ p5(X2,X3)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_385,definition,
iPr_def_10 = f6(c24),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_386,definition,
iPr_def_11 = f13(iPr_def_10,c26),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_387,definition,
iPr_def_12 = f6(c22),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_388,definition,
iPr_def_13 = f7(c25),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_389,definition,
iPr_def_14 = f15(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_390,definition,
iPr_def_15 = f14(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_391,definition,
iPr_def_16 = f13(iPr_def_12,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_395,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p10(f13(X2,X0),f13(X3,X1))
| ~ p5(X2,X3)
| ~ p10(X0,X1) ),
inference(demodulation,[status(thm)],[c_115]) ).
tcf(c_396,negated_conjecture,
~ p10(iPr_def_11,iPr_def_16),
inference(demodulation,[status(thm)],[c_111,c_388,c_389,c_390,c_387,c_391,c_385,c_386]) ).
tcf(c_397,negated_conjecture,
! [X0: $i] : p10(f13(iPr_def_12,X0),f13(iPr_def_10,f16(c26,X0))),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_402,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p10(X1,X2)
| ~ p10(X0,X2)
| ~ p10(X0,X1) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_412,negated_conjecture,
! [X0: $i] : p10(f16(X0,iPr_def_15),X0),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_417,negated_conjecture,
! [X0: $i] : p5(X0,X0),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_418,negated_conjecture,
! [X0: $i] : p10(X0,X0),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_905,plain,
p10(iPr_def_16,f13(iPr_def_10,f16(c26,iPr_def_15))),
inference(superposition,[status(thm)],[c_391,c_397]) ).
tcf(c_991,plain,
! [X0: $i,X1: $i] :
( p10(X0,X1)
| ~ p10(f16(X0,iPr_def_15),X1) ),
inference(superposition,[status(thm)],[c_412,c_402]) ).
tcf(c_993,plain,
! [X0: $i] :
( p10(f13(iPr_def_10,f16(c26,iPr_def_15)),X0)
| ~ p10(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_905,c_402]) ).
tcf(c_1039,plain,
! [X0: $i,X1: $i] :
( p10(f13(X1,X0),iPr_def_11)
| ~ p5(X1,iPr_def_10)
| ~ p10(X0,c26) ),
inference(superposition,[status(thm)],[c_386,c_395]) ).
tcf(c_1166,plain,
! [X0: $i] :
( p10(iPr_def_11,iPr_def_16)
| ~ p10(X0,iPr_def_16)
| ~ p10(X0,iPr_def_11) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_1204,plain,
! [X0: $i] : p10(X0,f16(X0,iPr_def_15)),
inference(superposition,[status(thm)],[c_418,c_991]) ).
tcf(c_1212,plain,
! [X0: $i,X1: $i] :
( p10(f16(X0,iPr_def_15),X1)
| ~ p10(X0,X1) ),
inference(superposition,[status(thm)],[c_1204,c_402]) ).
tcf(c_1227,plain,
! [X0: $i,X1: $i,X2: $i] :
( p10(X2,X1)
| ~ p10(X0,X2)
| ~ p10(f16(X0,iPr_def_15),X1) ),
inference(superposition,[status(thm)],[c_1212,c_402]) ).
tcf(c_1236,plain,
! [X0: $i,X1: $i] :
( p10(X1,X0)
| ~ p10(iPr_def_16,X1)
| ~ p10(f13(iPr_def_10,f16(c26,iPr_def_15)),X0) ),
inference(superposition,[status(thm)],[c_993,c_402]) ).
tcf(c_1625,plain,
p10(iPr_def_16,iPr_def_16),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_1628,plain,
! [X0: $i,X1: $i] :
( p10(X1,iPr_def_16)
| ~ p10(X0,iPr_def_16)
| ~ p10(X0,X1) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_2694,plain,
! [X0: $i] :
( p10(X0,iPr_def_16)
| ~ p10(iPr_def_16,iPr_def_16)
| ~ p10(iPr_def_16,X0) ),
inference(instantiation,[status(thm)],[c_1628]) ).
tcf(c_7682,plain,
! [X0: $i,X1: $i] :
( p10(X1,X0)
| ~ p10(X0,X1) ),
inference(superposition,[status(thm)],[c_412,c_1227]) ).
tcf(c_7742,plain,
! [X0: $i] : p10(f13(iPr_def_10,f16(c26,X0)),f13(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_397,c_7682]) ).
tcf(c_8048,plain,
! [X0: $i] :
( p10(X0,iPr_def_11)
| ~ p5(iPr_def_10,iPr_def_10)
| ~ p10(iPr_def_16,X0)
| ~ p10(f16(c26,iPr_def_15),c26) ),
inference(superposition,[status(thm)],[c_1039,c_1236]) ).
tcf(c_8056,plain,
! [X0: $i] :
( p10(X0,f13(iPr_def_12,iPr_def_15))
| ~ p10(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_7742,c_1236]) ).
tcf(c_8057,plain,
! [X0: $i] :
( p10(X0,iPr_def_16)
| ~ p10(iPr_def_16,X0) ),
inference(light_normalisation,[status(thm)],[c_8056,c_391]) ).
tcf(c_8077,plain,
! [X0: $i] :
( p10(X0,iPr_def_11)
| ~ p10(iPr_def_16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8048,c_417,c_412]) ).
tcf(c_9002,plain,
! [X0: $i] : ~ p10(iPr_def_16,X0),
inference(global_subsumption_just,[status(thm)],[c_8057,c_396,c_1166,c_1625,c_2694,c_8077]) ).
tcf(c_9005,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_905,c_9002]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN624-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 01:56:18 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 3.85/1.27 % SZS status Started for theBenchmark.p
% 3.85/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.27
% 3.85/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.85/1.27
% 3.85/1.27 % ------ iProver source info
% 3.85/1.27
% 3.85/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 3.85/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.85/1.27 % git: non_committed_changes: false
% 3.85/1.27
% 3.85/1.27 % ------ Parsing...% successful
% 3.85/1.27
% 3.85/1.27
% 3.85/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.85/1.27
% 3.85/1.27 % ------ Preprocessing... sf_s rm: 9 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.85/1.27
% 3.85/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.85/1.27
% 3.85/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.85/1.27 % ------ Proving...
% 3.85/1.27 % ------ Problem Properties
% 3.85/1.27
% 3.85/1.27 %
% 3.85/1.27 % clauses 34
% 3.85/1.27 % conjectures 26
% 3.85/1.27 % EPR 13
% 3.85/1.27 % Horn 34
% 3.85/1.27 % unary 18
% 3.85/1.27 % binary 8
% 3.85/1.27 % lits 58
% 3.85/1.27 % lits eq 8
% 3.85/1.27 % fd_pure 0
% 3.85/1.27 % fd_pseudo 0
% 3.85/1.27 % fd_cond 0
% 3.85/1.27 % fd_pseudo_cond 0
% 3.85/1.27 % AC symbols 0
% 3.85/1.27
% 3.85/1.27 % ------ Schedule dynamic 5 is on
% 3.85/1.27
% 3.85/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.85/1.27
% 3.85/1.27
% 3.85/1.27 % ------
% 3.85/1.27 % Current options:
% 3.85/1.27 % ------
% 3.85/1.27
% 3.85/1.27
% 3.85/1.27 %
% 3.85/1.27
% 3.85/1.27 % ------ Proving...
% 3.85/1.27 %
% 3.85/1.27
% 3.85/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.27
% 3.85/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.85/1.28
% 3.85/1.28
%------------------------------------------------------------------------------