%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN601-1 : 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 : n010.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 03:41:11 PM UTC 2026
% Result : Unsatisfiable 3.34s 1.28s
% Output : CNFRefutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 71 ( 34 unt; 6 def)
% Number of atoms : 246 ( 16 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 179 ( 91 ~; 88 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 16 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 110 ( 0 sgn 110 !; 0 ?; 82 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
fof(f2,negated_conjecture,
! [X0] : p9(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
fof(f3,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f7,negated_conjecture,
p3(c22,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_17) ).
fof(f19,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_19) ).
fof(f22,negated_conjecture,
p19(c21,f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_22) ).
fof(f23,negated_conjecture,
~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p19_23) ).
fof(f24,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p10(X3,X1)
| ~ p2(X2,X0)
| ~ p19(X2,X3)
| p19(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_24) ).
fof(f27,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X1,X3)
| ~ p3(X0,X2)
| p12(f14(X0,X1),f14(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_27) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X0,X2)
| ~ p12(X1,X3)
| p2(f13(X0,X1),f13(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).
fof(f30,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p10(X2,X5)
| ~ p9(X1,X4)
| ~ p2(X0,X3)
| p10(f11(X0,X1,X2),f11(X3,X4,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_30) ).
tcf(c_79,negated_conjecture,
! [X0: $i] : p10(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_80,negated_conjecture,
! [X0: $i] : p9(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_81,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_82,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_85,negated_conjecture,
p3(c22,c23),
inference(cnf_transformation,[],[f7]) ).
tcf(c_95,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p10(X1,X2)
| ~ p10(X0,X2)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_97,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_100,negated_conjecture,
p19(c21,f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25)),
inference(cnf_transformation,[],[f22]) ).
tcf(c_101,negated_conjecture,
~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
inference(cnf_transformation,[],[f23]) ).
tcf(c_102,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p19(X3,X1)
| ~ p19(X2,X0)
| ~ p2(X2,X3)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_105,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p12(f14(X0,X2),f14(X1,X3))
| ~ p3(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_106,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f13(X0,X2),f13(X1,X3))
| ~ p12(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_108,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p10(f11(X4,X2,X0),f11(X5,X3,X1))
| ~ p2(X4,X5)
| ~ p9(X2,X3)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_110,plain,
p2(c21,c21),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_356,definition,
iPr_def_12 = f14(iPr_def_11,c23),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_357,definition,
iPr_def_13 = f13(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_358,definition,
iPr_def_14 = f11(iPr_def_13,c24,c25),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_361,definition,
iPr_def_17 = f14(iPr_def_11,c22),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_362,definition,
iPr_def_18 = f13(iPr_def_10,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_363,definition,
iPr_def_19 = f11(iPr_def_18,c24,c25),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_364,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p10(f11(X4,X2,X0),f11(X5,X3,X1))
| ~ p2(X4,X5)
| ~ p9(X2,X3)
| ~ p10(X0,X1) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_366,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f13(X0,X2),f13(X1,X3))
| ~ p12(X2,X3)
| ~ p3(X0,X1) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_367,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p12(f14(X0,X2),f14(X1,X3))
| ~ p3(X2,X3)
| ~ p3(X0,X1) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_368,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p19(X3,X1)
| ~ p19(X2,X0)
| ~ p2(X2,X3)
| ~ p10(X0,X1) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_369,negated_conjecture,
~ p19(c21,iPr_def_14),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_370,negated_conjecture,
p19(c21,iPr_def_19),
inference(demodulation,[status(thm)],[c_100,c_361,c_362,c_363]) ).
tcf(c_373,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_375,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p10(X1,X2)
| ~ p10(X0,X2)
| ~ p10(X0,X1) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_383,negated_conjecture,
p3(c22,c23),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_386,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_387,negated_conjecture,
! [X0: $i] : p9(X0,X0),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_388,negated_conjecture,
! [X0: $i] : p10(X0,X0),
inference(demodulation,[status(thm)],[c_79]) ).
tcf(c_392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p10(X0,X2)
| ~ p10(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_915,plain,
! [X0: $i] :
( p3(c23,X0)
| ~ p3(c22,X0) ),
inference(superposition,[status(thm)],[c_383,c_373]) ).
tcf(c_952,plain,
p3(c23,c22),
inference(superposition,[status(thm)],[c_386,c_915]) ).
tcf(c_998,plain,
! [X0: $i,X1: $i] :
( p2(iPr_def_13,f13(X0,X1))
| ~ p12(iPr_def_12,X1)
| ~ p3(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_357,c_366]) ).
tcf(c_1029,plain,
! [X0: $i,X1: $i] :
( p12(iPr_def_12,f14(X1,X0))
| ~ p3(iPr_def_11,X1)
| ~ p3(c23,X0) ),
inference(superposition,[status(thm)],[c_356,c_367]) ).
tcf(c_1231,plain,
! [X0: $i,X1: $i] :
( p19(X1,X0)
| ~ p19(c21,iPr_def_19)
| ~ p2(c21,X1)
| ~ p10(iPr_def_19,X0) ),
inference(instantiation,[status(thm)],[c_368]) ).
tcf(c_1278,plain,
! [X0: $i,X1: $i] :
( p10(X1,iPr_def_14)
| ~ p10(X0,iPr_def_14)
| ~ p10(X0,X1) ),
inference(instantiation,[status(thm)],[c_375]) ).
tcf(c_1528,plain,
! [X0: $i] :
( p10(X0,iPr_def_14)
| ~ p10(iPr_def_14,iPr_def_14)
| ~ p10(iPr_def_14,X0) ),
inference(instantiation,[status(thm)],[c_1278]) ).
tcf(c_1529,plain,
p10(iPr_def_14,iPr_def_14),
inference(instantiation,[status(thm)],[c_388]) ).
tcf(c_1546,plain,
! [X0: $i,X1: $i,X2: $i] :
( p10(iPr_def_14,X0)
| ~ p10(X2,X1)
| ( iPr_def_14 != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_392]) ).
tcf(c_2281,plain,
! [X0: $i,X1: $i] :
( p10(iPr_def_14,X0)
| ~ p10(f11(iPr_def_13,c24,c25),X1)
| ( iPr_def_14 != f11(iPr_def_13,c24,c25) )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_1546]) ).
tcf(c_2620,plain,
p10(c25,c25),
inference(instantiation,[status(thm)],[c_388]) ).
tcf(c_3215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p10(iPr_def_14,X0)
| ~ p10(f11(iPr_def_13,c24,c25),f11(X1,X2,X3))
| ( iPr_def_14 != f11(iPr_def_13,c24,c25) )
| ( X0 != f11(X1,X2,X3) ) ),
inference(instantiation,[status(thm)],[c_2281]) ).
tcf(c_3216,plain,
! [X0: $i,X1: $i,X2: $i] :
( p10(f11(iPr_def_13,c24,c25),f11(X2,X1,X0))
| ~ p2(iPr_def_13,X2)
| ~ p9(c24,X1)
| ~ p10(c25,X0) ),
inference(instantiation,[status(thm)],[c_364]) ).
tcf(c_3471,plain,
( p2(iPr_def_13,iPr_def_18)
| ~ p12(iPr_def_12,iPr_def_17)
| ~ p3(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_362,c_998]) ).
tcf(c_3484,plain,
( p2(iPr_def_13,iPr_def_18)
| ~ p12(iPr_def_12,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3471,c_386]) ).
tcf(c_3572,plain,
( p10(f11(iPr_def_13,c24,c25),f11(iPr_def_18,c24,c25))
| ~ p2(iPr_def_13,iPr_def_18)
| ~ p9(c24,c24)
| ~ p10(c25,c25) ),
inference(instantiation,[status(thm)],[c_3216]) ).
tcf(c_3601,plain,
( p10(iPr_def_14,iPr_def_19)
| ~ p10(f11(iPr_def_13,c24,c25),f11(iPr_def_18,c24,c25))
| ( iPr_def_19 != f11(iPr_def_18,c24,c25) )
| ( iPr_def_14 != f11(iPr_def_13,c24,c25) ) ),
inference(instantiation,[status(thm)],[c_3215]) ).
tcf(c_3983,plain,
p9(c24,c24),
inference(instantiation,[status(thm)],[c_387]) ).
tcf(c_5209,plain,
( p12(iPr_def_12,iPr_def_17)
| ~ p3(iPr_def_11,iPr_def_11)
| ~ p3(c23,c22) ),
inference(superposition,[status(thm)],[c_361,c_1029]) ).
tcf(c_5211,plain,
p12(iPr_def_12,iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_5209,c_386,c_952]) ).
tcf(c_5216,plain,
p2(iPr_def_13,iPr_def_18),
inference(backward_subsumption_resolution,[status(thm)],[c_3484,c_5211]) ).
tcf(c_6904,plain,
( p10(iPr_def_19,iPr_def_14)
| ~ p10(iPr_def_14,iPr_def_19)
| ~ p10(iPr_def_14,iPr_def_14) ),
inference(instantiation,[status(thm)],[c_1528]) ).
tcf(c_7926,plain,
! [X0: $i] :
( p19(X0,iPr_def_14)
| ~ p19(c21,iPr_def_19)
| ~ p10(iPr_def_19,iPr_def_14)
| ~ p2(c21,X0) ),
inference(instantiation,[status(thm)],[c_1231]) ).
tcf(c_7927,plain,
( p19(c21,iPr_def_14)
| ~ p19(c21,iPr_def_19)
| ~ p2(c21,c21)
| ~ p10(iPr_def_19,iPr_def_14) ),
inference(instantiation,[status(thm)],[c_7926]) ).
tcf(c_7928,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7927,c_6904,c_5216,c_3983,c_3601,c_3572,c_2620,c_1529,c_370,c_369,c_363,c_358,c_110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN601-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 01:51:43 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.43 % Proving...
% 3.34/1.28 % SZS status Started for theBenchmark.p
% 3.34/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.34/1.28
% 3.34/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.34/1.28
% 3.34/1.28 % ------ iProver source info
% 3.34/1.28
% 3.34/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.34/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.34/1.28 % git: non_committed_changes: false
% 3.34/1.28
% 3.34/1.28 % ------ Parsing...% successful
% 3.34/1.28
% 3.34/1.28
% 3.34/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.34/1.28
% 3.34/1.28 % ------ Preprocessing... sf_s rm: 5 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.34/1.28
% 3.34/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.34/1.28
% 3.34/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.34/1.28 % ------ Proving...
% 3.34/1.28 % ------ Problem Properties
% 3.34/1.28
% 3.34/1.28 %
% 3.34/1.28 % clauses 35
% 3.34/1.28 % conjectures 25
% 3.34/1.28 % EPR 15
% 3.34/1.28 % Horn 35
% 3.34/1.28 % unary 19
% 3.34/1.28 % binary 7
% 3.34/1.28 % lits 62
% 3.34/1.28 % lits eq 10
% 3.34/1.28 % fd_pure 0
% 3.34/1.28 % fd_pseudo 0
% 3.34/1.28 % fd_cond 0
% 3.34/1.28 % fd_pseudo_cond 0
% 3.34/1.28 % AC symbols 0
% 3.34/1.28
% 3.34/1.28 % ------ Schedule dynamic 5 is on
% 3.34/1.28
% 3.34/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.34/1.28
% 3.34/1.28
% 3.34/1.28 % ------
% 3.34/1.28 % Current options:
% 3.34/1.28 % ------
% 3.34/1.28
% 3.34/1.28
% 3.34/1.28 %
% 3.34/1.28
% 3.34/1.28 % ------ Proving...
% 3.34/1.28 %
% 3.34/1.28
% 3.34/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.34/1.28
% 3.34/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.34/1.29
% 3.34/1.29
%------------------------------------------------------------------------------