%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN632-1 : 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 03:41:16 PM UTC 2026
% Result : Unsatisfiable 0.94s 7.06s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 52 ( 12 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 132 ( 68 ~; 64 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn 98 !; 0 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
fof(f7,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p21(X3,X2)
| ~ p4(X3,X0)
| ~ p3(X2,X1)
| p21(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_23) ).
fof(f24,negated_conjecture,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_24) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_31) ).
fof(f33,negated_conjecture,
! [X2,X0,X1] :
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),X2),X0),X1)
| p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_33) ).
fof(f34,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X1,X2)
| p21(f5(f7(f10(c24,f12(c25,c26)),X0),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_34) ).
fof(f35,negated_conjecture,
! [X0] :
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X0),c27)
| ~ p21(f5(c22,c23),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p21_35) ).
fof(f36,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p21(f5(f7(f10(c24,f12(c28,X1)),X0),X2),X3)
| p21(f5(X0,f14(f16(f18(f20(c29,X1),X2),X0),X3)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_36) ).
fof(f38,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p21(f5(f7(f10(c24,f12(c28,X0)),X1),X2),X3)
| p21(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c29,X0),X2),X1),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_38) ).
tcf(c_92,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_93,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f7]) ).
tcf(c_103,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_109,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p21(X1,X3)
| ~ p21(X0,X2)
| ~ p3(X2,X3)
| ~ p4(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_110,negated_conjecture,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
inference(cnf_transformation,[],[f24]) ).
tcf(c_117,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(f5(X2,X0),f5(X3,X1))
| ~ p2(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_119,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),X0),X1),X2) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_120,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p21(f5(f7(f10(c24,f12(c25,c26)),X2),X0),X1)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_121,negated_conjecture,
! [X0: $i] :
( ~ p21(f5(c22,c23),X0)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X0),c27) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_122,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p21(f5(X1,f14(f16(f18(f20(c29,X0),X2),X1),X3)),X3)
| ~ p21(f5(f7(f10(c24,f12(c28,X0)),X1),X2),X3) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_124,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p21(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c29,X0),X2),X1),X3))
| ~ p21(f5(f7(f10(c24,f12(c28,X0)),X1),X2),X3) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_321,negated_conjecture,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f5_1: iProver_f5_1,X0_iProver_f10_2: iProver_f10_2,X1_iProver_f18_2: iProver_f18_2] :
( p21(f5(f7(f10(c24,X0_iProver_f10_2),X0_iProver_f5_1),X0_iProver_f18_2),f14(f16(f18(f20(c29,X0_iProver_f10_2),X0_iProver_f18_2),X0_iProver_f5_1),X1_iProver_f18_2))
| ~ p21(f5(f7(f10(c24,f12(c28,X0_iProver_f10_2)),X0_iProver_f5_1),X0_iProver_f18_2),X1_iProver_f18_2) ),
inference(subtyping,[status(esa)],[c_124]) ).
tcf(c_323,negated_conjecture,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f5_1: iProver_f5_1,X0_iProver_f10_2: iProver_f10_2,X1_iProver_f18_2: iProver_f18_2] :
( p21(f5(X0_iProver_f5_1,f14(f16(f18(f20(c29,X0_iProver_f10_2),X0_iProver_f18_2),X0_iProver_f5_1),X1_iProver_f18_2)),X1_iProver_f18_2)
| ~ p21(f5(f7(f10(c24,f12(c28,X0_iProver_f10_2)),X0_iProver_f5_1),X0_iProver_f18_2),X1_iProver_f18_2) ),
inference(subtyping,[status(esa)],[c_122]) ).
tcf(c_324,negated_conjecture,
! [X0_iProver_f18_2: iProver_f18_2] :
( ~ p21(f5(c22,c23),X0_iProver_f18_2)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X0_iProver_f18_2),c27) ),
inference(subtyping,[status(esa)],[c_121]) ).
tcf(c_325,negated_conjecture,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f5_1: iProver_f5_1,X1_iProver_f18_2: iProver_f18_2] :
( p21(f5(f7(f10(c24,f12(c25,c26)),X0_iProver_f5_1),X0_iProver_f18_2),X1_iProver_f18_2)
| ~ p3(X0_iProver_f18_2,X1_iProver_f18_2) ),
inference(subtyping,[status(esa)],[c_120]) ).
tcf(c_326,negated_conjecture,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f5_1: iProver_f5_1,X1_iProver_f18_2: iProver_f18_2] :
( p3(X0_iProver_f18_2,X1_iProver_f18_2)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),X0_iProver_f5_1),X0_iProver_f18_2),X1_iProver_f18_2) ),
inference(subtyping,[status(esa)],[c_119]) ).
tcf(c_328,negated_conjecture,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f5_1: iProver_f5_1,X1_iProver_f18_2: iProver_f18_2,X1_iProver_f5_1: iProver_f5_1] :
( p4(f5(X0_iProver_f5_1,X0_iProver_f18_2),f5(X1_iProver_f5_1,X1_iProver_f18_2))
| ~ p2(X0_iProver_f5_1,X1_iProver_f5_1)
| ~ p3(X0_iProver_f18_2,X1_iProver_f18_2) ),
inference(subtyping,[status(esa)],[c_117]) ).
tcf(c_336,negated_conjecture,
! [X0_iProver_p21_1: iProver_p21_1,X0_iProver_f18_2: iProver_f18_2,X1_iProver_p21_1: iProver_p21_1,X1_iProver_f18_2: iProver_f18_2] :
( p21(X1_iProver_p21_1,X1_iProver_f18_2)
| ~ p21(X0_iProver_p21_1,X0_iProver_f18_2)
| ~ p3(X0_iProver_f18_2,X1_iProver_f18_2)
| ~ p4(X0_iProver_p21_1,X1_iProver_p21_1) ),
inference(subtyping,[status(esa)],[c_109]) ).
tcf(c_342,negated_conjecture,
! [X0_iProver_f18_2: iProver_f18_2,X1_iProver_f18_2: iProver_f18_2,X2_iProver_f18_2: iProver_f18_2] :
( p3(X1_iProver_f18_2,X2_iProver_f18_2)
| ~ p3(X0_iProver_f18_2,X2_iProver_f18_2)
| ~ p3(X0_iProver_f18_2,X1_iProver_f18_2) ),
inference(subtyping,[status(esa)],[c_103]) ).
tcf(c_352,negated_conjecture,
! [X0_iProver_f5_1: iProver_f5_1] : p2(X0_iProver_f5_1,X0_iProver_f5_1),
inference(subtyping,[status(esa)],[c_93]) ).
tcf(c_353,negated_conjecture,
! [X0_iProver_f18_2: iProver_f18_2] : p3(X0_iProver_f18_2,X0_iProver_f18_2),
inference(subtyping,[status(esa)],[c_92]) ).
tcf(c_363,plain,
p2(c22,c22),
inference(instantiation,[status(thm)],[c_352]) ).
tcf(c_364,plain,
p3(c23,c23),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_382,plain,
( p21(f5(f7(f10(c24,f12(c25,c26)),c22),c23),f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27))
| ~ p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27) ),
inference(instantiation,[status(thm)],[c_321]) ).
tcf(c_383,plain,
( p21(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),c27)
| ~ p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27) ),
inference(instantiation,[status(thm)],[c_323]) ).
tcf(c_396,plain,
! [X0_iProver_p21_1: iProver_p21_1,X0_iProver_f18_2: iProver_f18_2] :
( p21(X0_iProver_p21_1,X0_iProver_f18_2)
| ~ p3(c27,X0_iProver_f18_2)
| ~ p21(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),c27)
| ~ p4(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),X0_iProver_p21_1) ),
inference(instantiation,[status(thm)],[c_336]) ).
tcf(c_424,plain,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f5_1: iProver_f5_1] :
( p21(f5(f7(f10(c24,f12(c25,c26)),X0_iProver_f5_1),c27),X0_iProver_f18_2)
| ~ p3(c27,X0_iProver_f18_2) ),
inference(instantiation,[status(thm)],[c_325]) ).
tcf(c_430,plain,
! [X0_iProver_p21_1: iProver_p21_1] :
( p21(X0_iProver_p21_1,c27)
| ~ p3(c27,c27)
| ~ p21(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),c27)
| ~ p4(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),X0_iProver_p21_1) ),
inference(instantiation,[status(thm)],[c_396]) ).
tcf(c_454,plain,
p3(c27,c27),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_485,plain,
! [X0_iProver_f5_1: iProver_f5_1] :
( p21(f5(f7(f10(c24,f12(c25,c26)),X0_iProver_f5_1),c27),c27)
| ~ p3(c27,c27) ),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_486,plain,
( p21(f5(f7(f10(c24,f12(c25,c26)),c22),c27),c27)
| ~ p3(c27,c27) ),
inference(instantiation,[status(thm)],[c_485]) ).
tcf(c_653,plain,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f5_1: iProver_f5_1] :
( p21(f5(X0_iProver_f5_1,X0_iProver_f18_2),c27)
| ~ p3(c27,c27)
| ~ p21(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),c27)
| ~ p4(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),f5(X0_iProver_f5_1,X0_iProver_f18_2)) ),
inference(instantiation,[status(thm)],[c_430]) ).
tcf(c_654,plain,
( p21(f5(c22,c23),c27)
| ~ p3(c27,c27)
| ~ p21(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),c27)
| ~ p4(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),f5(c22,c23)) ),
inference(instantiation,[status(thm)],[c_653]) ).
tcf(c_761,plain,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f5_1: iProver_f5_1] :
( p4(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),f5(X0_iProver_f5_1,X0_iProver_f18_2))
| ~ p2(c22,X0_iProver_f5_1)
| ~ p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),X0_iProver_f18_2) ),
inference(instantiation,[status(thm)],[c_328]) ).
tcf(c_762,plain,
( p4(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),f5(c22,c23))
| ~ p2(c22,c22)
| ~ p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23) ),
inference(instantiation,[status(thm)],[c_761]) ).
tcf(c_778,plain,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f5_1: iProver_f5_1] :
( p3(X0_iProver_f18_2,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27))
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),X0_iProver_f5_1),X0_iProver_f18_2),f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)) ),
inference(instantiation,[status(thm)],[c_326]) ).
tcf(c_779,plain,
( p3(c23,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27))
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),c23),f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)) ),
inference(instantiation,[status(thm)],[c_778]) ).
tcf(c_1096,plain,
! [X0_iProver_f18_2: iProver_f18_2,X1_iProver_f18_2: iProver_f18_2] :
( p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),X1_iProver_f18_2)
| ~ p3(X0_iProver_f18_2,X1_iProver_f18_2)
| ~ p3(X0_iProver_f18_2,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)) ),
inference(instantiation,[status(thm)],[c_342]) ).
tcf(c_1097,plain,
( p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23)
| ~ p3(c23,c23)
| ~ p3(c23,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)) ),
inference(instantiation,[status(thm)],[c_1096]) ).
tcf(c_3799,plain,
( ~ p21(f5(c22,c23),c27)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),c27),c27) ),
inference(instantiation,[status(thm)],[c_324]) ).
tcf(c_3800,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3799,c_1097,c_779,c_762,c_654,c_486,c_454,c_383,c_382,c_364,c_363,c_110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN632-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/6.20 % Computer : n010.cluster.edu
% 0.09/6.20 % Model : x86_64 x86_64
% 0.09/6.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/6.20 % Memory : 8046.5625MB
% 0.09/6.20 % OS : Linux 6.8.0-71-generic
% 0.09/6.21 % CPULimit : 300
% 0.09/6.21 % WCLimit : 300
% 0.09/6.21 % DateTime : Fri Sep 25 01:57:09 UTC 2026
% 0.09/6.21 % CPUTime :
% 0.09/6.21 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/6.25 Running first-order theorem proving
% 0.09/6.25 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
% 0.09/6.26
% 0.09/6.26 % ======== iProver multi-core TPTP/SMT =========
% 0.09/6.26
% 0.09/6.26 % Detected problem language: tptp
% 0.09/6.27 % Proving...
% 0.94/7.06 % SZS status Started for theBenchmark.p
% 0.94/7.06 % SZS status Unsatisfiable for theBenchmark.p
% 0.94/7.06
% 0.94/7.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.94/7.06
% 0.94/7.06 % ------ iProver source info
% 0.94/7.06
% 0.94/7.06 % git: date: 2026-07-19 20:42:38 +0200
% 0.94/7.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.94/7.06 % git: non_committed_changes: false
% 0.94/7.06
% 0.94/7.06 % ------ Parsing...% successful
% 0.94/7.06
% 0.94/7.06
% 0.94/7.06 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.94/7.06
% 0.94/7.06 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.94/7.06
% 0.94/7.06 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.94/7.06 % ------ Proving...
% 0.94/7.06 % ------ Problem Properties
% 0.94/7.06
% 0.94/7.06 %
% 0.94/7.06 % clauses 38
% 0.94/7.06 % conjectures 38
% 0.94/7.06 % EPR 23
% 0.94/7.06 % Horn 38
% 0.94/7.06 % unary 12
% 0.94/7.06 % binary 5
% 0.94/7.06 % lits 86
% 0.94/7.06 % lits eq 0
% 0.94/7.06 % fd_pure 0
% 0.94/7.06 % fd_pseudo 0
% 0.94/7.06 % fd_cond 0
% 0.94/7.06 % fd_pseudo_cond 0
% 0.94/7.06 % AC symbols 0
% 0.94/7.06
% 0.94/7.06 % ------ Input Options Time Limit: Unbounded
% 0.94/7.06
% 0.94/7.06
% 0.94/7.06 % ------
% 0.94/7.06 % Current options:
% 0.94/7.06 % ------
% 0.94/7.06
% 0.94/7.06
% 0.94/7.06 %
% 0.94/7.06
% 0.94/7.06 % ------ Proving...
% 0.94/7.06 %
% 0.94/7.06
% 0.94/7.06 % SZS status Unsatisfiable for theBenchmark.p
% 0.94/7.06
% 0.94/7.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.94/7.06
% 0.94/7.06
%------------------------------------------------------------------------------