%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN627-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.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 03:41:15 PM UTC 2026
% Result : Unsatisfiable 2.41s 1.28s
% Output : CNFRefutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 64 ( 30 unt; 3 def)
% Number of atoms : 146 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 104 ( 53 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 9 ( 7 usr; 4 prp; 0-5 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 61 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
fof(f6,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f7,negated_conjecture,
p15(c18,c19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_7) ).
fof(f8,negated_conjecture,
~ p3(c23,c24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_8) ).
fof(f9,negated_conjecture,
p3(c23,f4(f7(c17,c18),c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_9) ).
fof(f10,negated_conjecture,
p16(c17,c20,f9(c19,c18),c21,c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_10) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_18) ).
fof(f20,negated_conjecture,
! [X0] :
( ~ p15(X0,c19)
| p3(c24,f4(f7(c17,X0),f14(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).
fof(f22,negated_conjecture,
! [X0] :
( ~ p15(X0,c19)
| p16(c17,c20,f9(c19,X0),f13(X0),c22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_22) ).
fof(f23,negated_conjecture,
! [X0] :
( ~ p15(X0,c19)
| p16(c17,c20,f9(c19,X0),f14(X0),c25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_23) ).
fof(f27,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p3(f4(X0,X1),f4(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_27) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p16(c17,c20,X2,X0,c22)
| ~ p16(c17,c20,X2,X1,X3)
| p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_28) ).
tcf(c_89,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_90,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_91,negated_conjecture,
p15(c18,c19),
inference(cnf_transformation,[],[f7]) ).
tcf(c_92,negated_conjecture,
~ p3(c23,c24),
inference(cnf_transformation,[],[f8]) ).
tcf(c_93,negated_conjecture,
p3(c23,f4(f7(c17,c18),c21)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_94,negated_conjecture,
p16(c17,c20,f9(c19,c18),c21,c22),
inference(cnf_transformation,[],[f10]) ).
tcf(c_102,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_104,negated_conjecture,
! [X0: $i] :
( p3(c24,f4(f7(c17,X0),f14(X0)))
| ~ p15(X0,c19) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_106,negated_conjecture,
! [X0: $i] :
( p16(c17,c20,f9(c19,X0),f13(X0),c22)
| ~ p15(X0,c19) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_107,negated_conjecture,
! [X0: $i] :
( p16(c17,c20,f9(c19,X0),f14(X0),c25)
| ~ p15(X0,c19) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_111,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p3(f4(X2,X0),f4(X3,X1))
| ~ p2(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_112,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p3(X3,X1)
| ~ p16(c17,c20,X0,X3,c22)
| ~ p16(c17,c20,X0,X1,X2) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_319,definition,
iPr_def_11 = f9(c19,c18),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_320,definition,
iPr_def_12 = f7(c17,c18),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_321,definition,
iPr_def_13 = f4(iPr_def_12,c21),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_330,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p3(X3,X1)
| ~ p16(c17,c20,X0,X3,c22)
| ~ p16(c17,c20,X0,X1,X2) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_331,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p3(f4(X2,X0),f4(X3,X1))
| ~ p2(X2,X3)
| ~ p3(X0,X1) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_335,negated_conjecture,
! [X0: $i] :
( p16(c17,c20,f9(c19,X0),f14(X0),c25)
| ~ p15(X0,c19) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_336,negated_conjecture,
! [X0: $i] :
( p16(c17,c20,f9(c19,X0),f13(X0),c22)
| ~ p15(X0,c19) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_338,negated_conjecture,
! [X0: $i] :
( p3(c24,f4(f7(c17,X0),f14(X0)))
| ~ p15(X0,c19) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_340,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_348,negated_conjecture,
p16(c17,c20,iPr_def_11,c21,c22),
inference(demodulation,[status(thm)],[c_94,c_319]) ).
tcf(c_349,negated_conjecture,
p3(c23,iPr_def_13),
inference(demodulation,[status(thm)],[c_93,c_320,c_321]) ).
tcf(c_351,negated_conjecture,
p15(c18,c19),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_352,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_353,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_967,plain,
! [X0: $i] :
( p3(iPr_def_13,X0)
| ~ p3(c23,X0) ),
inference(superposition,[status(thm)],[c_349,c_340]) ).
tcf(c_1034,plain,
( p3(c24,f4(iPr_def_12,f14(c18)))
| ~ p15(c18,c19) ),
inference(superposition,[status(thm)],[c_320,c_338]) ).
tcf(c_1036,plain,
p3(c24,f4(iPr_def_12,f14(c18))),
inference(forward_subsumption_resolution,[status(thm)],[c_1034,c_351]) ).
tcf(c_1045,plain,
( p16(c17,c20,iPr_def_11,f14(c18),c25)
| ~ p15(c18,c19) ),
inference(superposition,[status(thm)],[c_319,c_335]) ).
tcf(c_1047,plain,
p16(c17,c20,iPr_def_11,f14(c18),c25),
inference(forward_subsumption_resolution,[status(thm)],[c_1045,c_351]) ).
tcf(c_1060,plain,
( p16(c17,c20,iPr_def_11,f13(c18),c22)
| ~ p15(c18,c19) ),
inference(superposition,[status(thm)],[c_319,c_336]) ).
tcf(c_1062,plain,
p16(c17,c20,iPr_def_11,f13(c18),c22),
inference(forward_subsumption_resolution,[status(thm)],[c_1060,c_351]) ).
tcf(c_1078,plain,
! [X0: $i,X1: $i] :
( p3(f4(X1,X0),iPr_def_13)
| ~ p2(X1,iPr_def_12)
| ~ p3(X0,c21) ),
inference(superposition,[status(thm)],[c_321,c_331]) ).
tcf(c_1096,plain,
! [X0: $i] :
( p3(f4(iPr_def_12,f14(c18)),X0)
| ~ p3(c24,X0) ),
inference(superposition,[status(thm)],[c_1036,c_340]) ).
tcf(c_1104,plain,
p3(iPr_def_13,c23),
inference(superposition,[status(thm)],[c_353,c_967]) ).
tcf(c_1218,plain,
! [X0: $i] :
( p3(X0,c21)
| ~ p16(c17,c20,iPr_def_11,X0,c22) ),
inference(superposition,[status(thm)],[c_348,c_330]) ).
tcf(c_1349,plain,
! [X0: $i] :
( p3(X0,f14(c18))
| ~ p16(c17,c20,iPr_def_11,X0,c22) ),
inference(superposition,[status(thm)],[c_1047,c_330]) ).
tcf(c_1377,plain,
! [X0: $i] :
( p3(c23,c24)
| ~ p3(X0,c24)
| ~ p3(X0,c23) ),
inference(instantiation,[status(thm)],[c_340]) ).
tcf(c_1428,plain,
! [X0: $i,X1: $i] :
( p3(X1,X0)
| ~ p3(c24,X1)
| ~ p3(f4(iPr_def_12,f14(c18)),X0) ),
inference(superposition,[status(thm)],[c_1096,c_340]) ).
tcf(c_1437,plain,
p3(f13(c18),c21),
inference(superposition,[status(thm)],[c_1062,c_1218]) ).
tcf(c_1625,plain,
p3(f13(c18),f14(c18)),
inference(superposition,[status(thm)],[c_1062,c_1349]) ).
tcf(c_1754,plain,
! [X0: $i] :
( p3(f14(c18),X0)
| ~ p3(f13(c18),X0) ),
inference(superposition,[status(thm)],[c_1625,c_340]) ).
tcf(c_1775,plain,
p3(f14(c18),c21),
inference(superposition,[status(thm)],[c_1437,c_1754]) ).
tcf(c_3371,plain,
( p3(c23,c24)
| ~ p3(iPr_def_13,c24)
| ~ p3(iPr_def_13,c23) ),
inference(instantiation,[status(thm)],[c_1377]) ).
tcf(c_4998,plain,
! [X0: $i] :
( p3(iPr_def_13,c24)
| ~ p3(X0,iPr_def_13)
| ~ p3(X0,c24) ),
inference(instantiation,[status(thm)],[c_340]) ).
tcf(c_6359,plain,
( p3(iPr_def_13,c24)
| ~ p3(c24,iPr_def_13)
| ~ p3(c24,c24) ),
inference(instantiation,[status(thm)],[c_4998]) ).
tcf(c_6360,plain,
p3(c24,c24),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_7030,plain,
! [X0: $i] :
( p3(X0,iPr_def_13)
| ~ p2(iPr_def_12,iPr_def_12)
| ~ p3(c24,X0)
| ~ p3(f14(c18),c21) ),
inference(superposition,[status(thm)],[c_1078,c_1428]) ).
tcf(c_7047,plain,
! [X0: $i] :
( p3(X0,iPr_def_13)
| ~ p3(c24,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7030,c_352,c_1775]) ).
tcf(c_7810,plain,
p3(c24,iPr_def_13),
inference(superposition,[status(thm)],[c_353,c_7047]) ).
tcf(c_7832,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7810,c_6360,c_6359,c_3371,c_1104,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN627-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n017.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 01:51:02 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 2.41/1.28 % SZS status Started for theBenchmark.p
% 2.41/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.41/1.28
% 2.41/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.41/1.28
% 2.41/1.28 % ------ iProver source info
% 2.41/1.28
% 2.41/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.41/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.41/1.28 % git: non_committed_changes: false
% 2.41/1.28
% 2.41/1.28 % ------ Parsing...% successful
% 2.41/1.28
% 2.41/1.28
% 2.41/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.41/1.28
% 2.41/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.41/1.28
% 2.41/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.41/1.28
% 2.41/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.41/1.28 % ------ Proving...
% 2.41/1.28 % ------ Problem Properties
% 2.41/1.28
% 2.41/1.28 %
% 2.41/1.28 % clauses 40
% 2.41/1.28 % conjectures 36
% 2.41/1.28 % EPR 22
% 2.41/1.28 % Horn 39
% 2.41/1.28 % unary 14
% 2.41/1.28 % binary 8
% 2.41/1.28 % lits 92
% 2.41/1.28 % lits eq 4
% 2.41/1.28 % fd_pure 0
% 2.41/1.28 % fd_pseudo 0
% 2.41/1.28 % fd_cond 0
% 2.41/1.28 % fd_pseudo_cond 0
% 2.41/1.28 % AC symbols 0
% 2.41/1.28
% 2.41/1.28 % ------ Schedule dynamic 5 is on
% 2.41/1.28
% 2.41/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.41/1.28
% 2.41/1.28
% 2.41/1.28 % ------
% 2.41/1.28 % Current options:
% 2.41/1.28 % ------
% 2.41/1.28
% 2.41/1.28
% 2.41/1.28 %
% 2.41/1.28
% 2.41/1.28 % ------ Proving...
% 2.41/1.28 %
% 2.41/1.28
% 2.41/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.41/1.28
% 2.41/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.41/1.28
% 2.41/1.28
%------------------------------------------------------------------------------