%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN712-1 : 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 : n004.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 03:41:27 PM UTC 2026
% Result : Unsatisfiable 4.30s 1.20s
% Output : CNFRefutation 4.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 41 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 12 con; 0-2 aty)
% Number of variables : 75 ( 0 sgn 75 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
fof(f20,negated_conjecture,
! [X0] : p32(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32_20) ).
fof(f28,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
fof(f67,negated_conjecture,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p62_67) ).
fof(f69,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p32(X3,X1)
| ~ p62(X2,X3)
| ~ p4(X2,X0)
| p62(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_69) ).
fof(f82,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_82) ).
fof(f97,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p62(f5(c64,f8(f11(f13(c65,X0),X2),X3)),X1)
| p62(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_97) ).
fof(f98,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p62(X0,X3)
| p62(f5(c64,f8(f11(f13(c65,X0),X1),X2)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_98) ).
fof(f99,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p62(f23(f25(f27(f29(f31(c74,X0),X2),X3),X4),X5),X1)
| p62(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_99) ).
fof(f100,negated_conjecture,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_100) ).
fof(f104,negated_conjecture,
! [X2,X3,X0,X1,X4] : p3(f16(f19(f21(c70,f8(f11(f13(c65,X0),X1),X2)),X3),X4),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_104) ).
tcf(c_172,negated_conjecture,
! [X0: $i] : p32(X0,X0),
inference(cnf_transformation,[],[f20]) ).
tcf(c_180,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f28]) ).
tcf(c_219,negated_conjecture,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
inference(cnf_transformation,[],[f67]) ).
tcf(c_221,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p62(X1,X3)
| ~ p62(X0,X2)
| ~ p32(X2,X3)
| ~ p4(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_234,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,[],[f82]) ).
tcf(c_249,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p62(X0,X3)
| ~ p62(f5(c64,f8(f11(f13(c65,X0),X1),X2)),X3) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_250,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p62(f5(c64,f8(f11(f13(c65,X0),X2),X3)),X1)
| ~ p62(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_251,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p62(X0,X5)
| ~ p62(f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4),X5) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_252,negated_conjecture,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
inference(cnf_transformation,[],[f100]) ).
tcf(c_256,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : p3(f16(f19(f21(c70,f8(f11(f13(c65,X0),X1),X2)),X3),X4),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))),
inference(cnf_transformation,[],[f104]) ).
tcf(c_1208,plain,
! [X0: $i,X1: $i] :
( p62(X0,X1)
| ~ p32(c69,X1)
| ~ p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69)
| ~ p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),X0) ),
inference(instantiation,[status(thm)],[c_221]) ).
tcf(c_1215,plain,
! [X0: $i] :
( p62(X0,c69)
| ~ p32(c69,c69)
| ~ p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69)
| ~ p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),X0) ),
inference(instantiation,[status(thm)],[c_1208]) ).
tcf(c_1216,plain,
p32(c69,c69),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_1224,plain,
! [X0: $i,X1: $i,X2: $i] :
( p62(f5(c64,f8(f11(f13(c65,X0),X1),X2)),c69)
| ~ p32(c69,c69)
| ~ p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69)
| ~ p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),f5(c64,f8(f11(f13(c65,X0),X1),X2))) ),
inference(instantiation,[status(thm)],[c_1215]) ).
tcf(c_1225,plain,
! [X0: $i,X1: $i,X2: $i] :
( p62(X0,c69)
| ~ p62(f5(c64,f8(f11(f13(c65,X0),X1),X2)),c69) ),
inference(instantiation,[status(thm)],[c_249]) ).
tcf(c_1233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p62(X0,c69)
| ~ p62(f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4),c69) ),
inference(instantiation,[status(thm)],[c_251]) ).
tcf(c_1259,plain,
! [X0: $i,X1: $i] :
( p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),f5(X1,X0))
| ~ p2(c64,X1)
| ~ p3(f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72),X0) ),
inference(instantiation,[status(thm)],[c_234]) ).
tcf(c_1285,plain,
p2(c64,c64),
inference(instantiation,[status(thm)],[c_180]) ).
tcf(c_1341,plain,
! [X0: $i] :
( p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),f5(c64,X0))
| ~ p2(c64,c64)
| ~ p3(f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72),X0) ),
inference(instantiation,[status(thm)],[c_1259]) ).
tcf(c_1520,plain,
( p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))))
| ~ p2(c64,c64)
| ~ p3(f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))) ),
inference(instantiation,[status(thm)],[c_1341]) ).
tcf(c_1521,plain,
p3(f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),
inference(instantiation,[status(thm)],[c_256]) ).
tcf(c_1580,plain,
( p62(f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69)
| ~ p32(c69,c69)
| ~ p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69)
| ~ p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72)))) ),
inference(instantiation,[status(thm)],[c_1224]) ).
tcf(c_2052,plain,
( p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69)
| ~ p62(f5(c64,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69) ),
inference(instantiation,[status(thm)],[c_1225]) ).
tcf(c_2605,plain,
( p62(c66,c69)
| ~ p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69) ),
inference(instantiation,[status(thm)],[c_1233]) ).
tcf(c_5175,plain,
~ p62(c66,c69),
inference(superposition,[status(thm)],[c_250,c_219]) ).
tcf(c_5177,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5175,c_2605,c_2052,c_1580,c_1521,c_1520,c_1285,c_1216,c_252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN712-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 02:09:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 4.30/1.20 % SZS status Started for theBenchmark.p
% 4.30/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.30/1.20
% 4.30/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.30/1.20
% 4.30/1.20 % ------ iProver source info
% 4.30/1.20
% 4.30/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 4.30/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.30/1.20 % git: non_committed_changes: false
% 4.30/1.20
% 4.30/1.20 % ------ Parsing...% successful
% 4.30/1.20
% 4.30/1.20
% 4.30/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.30/1.20
% 4.30/1.20 % ------ Preprocessing... sf_s rm: 13 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.30/1.20
% 4.30/1.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.30/1.20 % ------ Proving...
% 4.30/1.20 % ------ Problem Properties
% 4.30/1.20
% 4.30/1.20 %
% 4.30/1.20 % clauses 91
% 4.30/1.20 % conjectures 91
% 4.30/1.20 % EPR 59
% 4.30/1.20 % Horn 91
% 4.30/1.20 % unary 32
% 4.30/1.20 % binary 5
% 4.30/1.20 % lits 205
% 4.30/1.20 % lits eq 0
% 4.30/1.20 % fd_pure 0
% 4.30/1.20 % fd_pseudo 0
% 4.30/1.20 % fd_cond 0
% 4.30/1.20 % fd_pseudo_cond 0
% 4.30/1.20 % AC symbols 0
% 4.30/1.20
% 4.30/1.20 % ------ Schedule dynamic 5 is on
% 4.30/1.20
% 4.30/1.20 % ------ no equalities: superposition off
% 4.30/1.20
% 4.30/1.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.30/1.20
% 4.30/1.20
% 4.30/1.20 % ------
% 4.30/1.20 % Current options:
% 4.30/1.20 % ------
% 4.30/1.20
% 4.30/1.20
% 4.30/1.20 %
% 4.30/1.20
% 4.30/1.20 % ------ Proving...
% 4.30/1.20 %
% 4.30/1.20
% 4.30/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 4.30/1.20
% 4.30/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.30/1.20
% 4.30/1.20
%------------------------------------------------------------------------------