%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN631-1 : 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 : n005.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 4.44s 1.32s
% Output : CNFRefutation 4.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 57 ( 25 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 106 ( 60 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 12 ( 11 usr; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 91 ( 0 sgn 91 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p9(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
fof(f4,negated_conjecture,
! [X0] : p6(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_4) ).
fof(f5,negated_conjecture,
! [X0] : p5(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_5) ).
fof(f11,negated_conjecture,
! [X0,X1] : p5(f16(f18(X0,X1)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_11) ).
fof(f12,negated_conjecture,
p23(f13(c27,f14(c28)),f11(f15(c24))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_12) ).
fof(f13,negated_conjecture,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p23_13) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( ~ p9(X0,X1)
| p10(f11(X0),f11(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_15) ).
fof(f17,negated_conjecture,
! [X0,X1] :
( ~ p6(X0,X1)
| p5(f14(X0),f14(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_17) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( ~ p5(X0,X1)
| p5(f16(X0),f16(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_18) ).
fof(f25,negated_conjecture,
! [X2,X0,X1] :
( ~ p5(X2,X1)
| ~ p5(X2,X0)
| p5(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_25) ).
fof(f29,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p10(X3,X1)
| ~ p23(X2,X3)
| ~ p12(X2,X0)
| p23(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_29) ).
fof(f32,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p5(X1,X3)
| ~ p5(X0,X2)
| p12(f13(X0,X1),f13(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_32) ).
fof(f34,negated_conjecture,
! [X2,X0,X1] :
( ~ p23(f13(X0,X2),f11(f15(X1)))
| p5(X0,f18(f20(c29),f19(X1,X0,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_34) ).
fof(f35,negated_conjecture,
! [X2,X0,X1] :
( ~ p23(f13(X1,X2),f11(f15(X0)))
| p23(f13(f19(X0,X1,X2),X2),f11(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_35) ).
tcf(c_88,negated_conjecture,
! [X0: $i] : p9(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_90,negated_conjecture,
! [X0: $i] : p6(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_91,negated_conjecture,
! [X0: $i] : p5(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_97,negated_conjecture,
! [X0: $i,X1: $i] : p5(f16(f18(X0,X1)),X1),
inference(cnf_transformation,[],[f11]) ).
tcf(c_98,negated_conjecture,
p23(f13(c27,f14(c28)),f11(f15(c24))),
inference(cnf_transformation,[],[f12]) ).
tcf(c_99,negated_conjecture,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_101,negated_conjecture,
! [X0: $i,X1: $i] :
( p10(f11(X0),f11(X1))
| ~ p9(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_103,negated_conjecture,
! [X0: $i,X1: $i] :
( p5(f14(X0),f14(X1))
| ~ p6(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_104,negated_conjecture,
! [X0: $i,X1: $i] :
( p5(f16(X0),f16(X1))
| ~ p5(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_111,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p5(X1,X2)
| ~ p5(X0,X2)
| ~ p5(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_115,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p23(X3,X1)
| ~ p23(X2,X0)
| ~ p12(X2,X3)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_118,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p12(f13(X0,X2),f13(X1,X3))
| ~ p5(X2,X3)
| ~ p5(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_120,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p5(X0,f18(f20(c29),f19(X2,X0,X1)))
| ~ p23(f13(X0,X1),f11(f15(X2))) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_121,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p23(f13(f19(X2,X0,X1),X1),f11(X2))
| ~ p23(f13(X0,X1),f11(f15(X2))) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_131,plain,
p9(c24,c24),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_140,plain,
( p10(f11(c24),f11(c24))
| ~ p9(c24,c24) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_426,negated_conjecture,
! [X0_iProver_f19_1: iProver_f19_1,X0_iProver_f18_1: iProver_f18_1,X1_iProver_f18_1: iProver_f18_1] :
( p23(f13(f19(X0_iProver_f19_1,X0_iProver_f18_1,X1_iProver_f18_1),X1_iProver_f18_1),f11(X0_iProver_f19_1))
| ~ p23(f13(X0_iProver_f18_1,X1_iProver_f18_1),f11(f15(X0_iProver_f19_1))) ),
inference(subtyping,[status(esa)],[c_121]) ).
tcf(c_427,negated_conjecture,
! [X0_iProver_f19_1: iProver_f19_1,X0_iProver_f18_1: iProver_f18_1,X1_iProver_f18_1: iProver_f18_1] :
( p5(X0_iProver_f18_1,f18(f20(c29),f19(X0_iProver_f19_1,X0_iProver_f18_1,X1_iProver_f18_1)))
| ~ p23(f13(X0_iProver_f18_1,X1_iProver_f18_1),f11(f15(X0_iProver_f19_1))) ),
inference(subtyping,[status(esa)],[c_120]) ).
tcf(c_429,negated_conjecture,
! [X0_iProver_f18_1: iProver_f18_1,X1_iProver_f18_1: iProver_f18_1,X2_iProver_f18_1: iProver_f18_1,X3_iProver_f18_1: iProver_f18_1] :
( p12(f13(X0_iProver_f18_1,X2_iProver_f18_1),f13(X1_iProver_f18_1,X3_iProver_f18_1))
| ~ p5(X2_iProver_f18_1,X3_iProver_f18_1)
| ~ p5(X0_iProver_f18_1,X1_iProver_f18_1) ),
inference(subtyping,[status(esa)],[c_118]) ).
tcf(c_430,negated_conjecture,
! [X0_iProver_p23_1: iProver_p23_1,X0_iProver_p23_2: iProver_p23_2,X1_iProver_p23_1: iProver_p23_1,X1_iProver_p23_2: iProver_p23_2] :
( p23(X1_iProver_p23_1,X1_iProver_p23_2)
| ~ p23(X0_iProver_p23_1,X0_iProver_p23_2)
| ~ p12(X0_iProver_p23_1,X1_iProver_p23_1)
| ~ p10(X0_iProver_p23_2,X1_iProver_p23_2) ),
inference(subtyping,[status(esa)],[c_115]) ).
tcf(c_432,negated_conjecture,
! [X0_iProver_f18_1: iProver_f18_1,X1_iProver_f18_1: iProver_f18_1,X2_iProver_f18_1: iProver_f18_1] :
( p5(X1_iProver_f18_1,X2_iProver_f18_1)
| ~ p5(X0_iProver_f18_1,X2_iProver_f18_1)
| ~ p5(X0_iProver_f18_1,X1_iProver_f18_1) ),
inference(subtyping,[status(esa)],[c_111]) ).
tcf(c_438,negated_conjecture,
! [X0_iProver_f18_1: iProver_f18_1,X1_iProver_f18_1: iProver_f18_1] :
( p5(f16(X0_iProver_f18_1),f16(X1_iProver_f18_1))
| ~ p5(X0_iProver_f18_1,X1_iProver_f18_1) ),
inference(subtyping,[status(esa)],[c_104]) ).
tcf(c_439,negated_conjecture,
! [X0_iProver_p6_1: iProver_p6_1,X1_iProver_p6_1: iProver_p6_1] :
( p5(f14(X0_iProver_p6_1),f14(X1_iProver_p6_1))
| ~ p6(X0_iProver_p6_1,X1_iProver_p6_1) ),
inference(subtyping,[status(esa)],[c_103]) ).
tcf(c_442,negated_conjecture,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
inference(subtyping,[status(esa)],[c_99]) ).
tcf(c_443,negated_conjecture,
p23(f13(c27,f14(c28)),f11(f15(c24))),
inference(subtyping,[status(esa)],[c_98]) ).
tcf(c_444,negated_conjecture,
! [X0_iProver_f18_1: iProver_f18_1,X1_iProver_f18_1: iProver_f18_1] : p5(f16(f18(X0_iProver_f18_1,X1_iProver_f18_1)),X1_iProver_f18_1),
inference(subtyping,[status(esa)],[c_97]) ).
tcf(c_447,negated_conjecture,
! [X0_iProver_f18_1: iProver_f18_1] : p5(X0_iProver_f18_1,X0_iProver_f18_1),
inference(subtyping,[status(esa)],[c_91]) ).
tcf(c_448,negated_conjecture,
! [X0_iProver_p6_1: iProver_p6_1] : p6(X0_iProver_p6_1,X0_iProver_p6_1),
inference(subtyping,[status(esa)],[c_90]) ).
tcf(c_452,plain,
p5(c27,c27),
inference(instantiation,[status(thm)],[c_447]) ).
tcf(c_453,plain,
p6(c28,c28),
inference(instantiation,[status(thm)],[c_448]) ).
tcf(c_460,plain,
( p5(f14(c28),f14(c28))
| ~ p6(c28,c28) ),
inference(instantiation,[status(thm)],[c_439]) ).
tcf(c_520,plain,
! [X0_iProver_p23_1: iProver_p23_1,X0_iProver_p23_2: iProver_p23_2] :
( ~ p23(X0_iProver_p23_1,X0_iProver_p23_2)
| ~ p10(X0_iProver_p23_2,f11(c24))
| ~ p12(X0_iProver_p23_1,f13(f16(c27),f14(c28))) ),
inference(resolution,[status(thm)],[c_430,c_442]) ).
tcf(c_526,plain,
! [X0_iProver_f19_1: iProver_f19_1,X0_iProver_f18_1: iProver_f18_1,X1_iProver_f18_1: iProver_f18_1] :
( ~ p10(f11(X0_iProver_f19_1),f11(c24))
| ~ p23(f13(X0_iProver_f18_1,X1_iProver_f18_1),f11(f15(X0_iProver_f19_1)))
| ~ p12(f13(f19(X0_iProver_f19_1,X0_iProver_f18_1,X1_iProver_f18_1),X1_iProver_f18_1),f13(f16(c27),f14(c28))) ),
inference(resolution,[status(thm)],[c_520,c_426]) ).
tcf(c_542,plain,
( ~ p10(f11(c24),f11(c24))
| ~ p12(f13(f19(c24,c27,f14(c28)),f14(c28)),f13(f16(c27),f14(c28))) ),
inference(resolution,[status(thm)],[c_526,c_443]) ).
tcf(c_543,plain,
~ p12(f13(f19(c24,c27,f14(c28)),f14(c28)),f13(f16(c27),f14(c28))),
inference(global_subsumption_just,[status(thm)],[c_542,c_131,c_140,c_542]) ).
tcf(c_550,plain,
( ~ p5(f14(c28),f14(c28))
| ~ p5(f19(c24,c27,f14(c28)),f16(c27)) ),
inference(resolution,[status(thm)],[c_543,c_429]) ).
tcf(c_551,plain,
~ p5(f19(c24,c27,f14(c28)),f16(c27)),
inference(global_subsumption_just,[status(thm)],[c_550,c_453,c_460,c_550]) ).
tcf(c_558,plain,
! [X0_iProver_f18_1: iProver_f18_1] :
( ~ p5(X0_iProver_f18_1,f16(c27))
| ~ p5(X0_iProver_f18_1,f19(c24,c27,f14(c28))) ),
inference(resolution,[status(thm)],[c_551,c_432]) ).
tcf(c_575,plain,
! [X0_iProver_f18_1: iProver_f18_1] : ~ p5(f16(f18(X0_iProver_f18_1,f19(c24,c27,f14(c28)))),f16(c27)),
inference(resolution,[status(thm)],[c_558,c_444]) ).
tcf(c_590,plain,
! [X0_iProver_f18_1: iProver_f18_1] : ~ p5(f18(X0_iProver_f18_1,f19(c24,c27,f14(c28))),c27),
inference(resolution,[status(thm)],[c_575,c_438]) ).
tcf(c_599,plain,
! [X0_iProver_f18_1: iProver_f18_1,X1_iProver_f18_1: iProver_f18_1] :
( ~ p5(X0_iProver_f18_1,c27)
| ~ p5(X0_iProver_f18_1,f18(X1_iProver_f18_1,f19(c24,c27,f14(c28)))) ),
inference(resolution,[status(thm)],[c_590,c_432]) ).
tcf(c_652,plain,
( ~ p5(c27,c27)
| ~ p23(f13(c27,f14(c28)),f11(f15(c24))) ),
inference(resolution,[status(thm)],[c_599,c_427]) ).
tcf(c_653,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_652,c_452,c_98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN631-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 01:56:02 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 4.44/1.32 % SZS status Started for theBenchmark.p
% 4.44/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.44/1.32
% 4.44/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.44/1.32
% 4.44/1.32 % ------ iProver source info
% 4.44/1.32
% 4.44/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 4.44/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.44/1.32 % git: non_committed_changes: false
% 4.44/1.32
% 4.44/1.32 % ------ Parsing...% successful
% 4.44/1.32
% 4.44/1.32
% 4.44/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.44/1.32
% 4.44/1.32 % ------ Preprocessing... sf_s rm: 12 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.44/1.32
% 4.44/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.44/1.32 % ------ Proving...
% 4.44/1.32 % ------ Problem Properties
% 4.44/1.32
% 4.44/1.32 %
% 4.44/1.32 % clauses 26
% 4.44/1.32 % conjectures 26
% 4.44/1.32 % EPR 11
% 4.44/1.32 % Horn 26
% 4.44/1.32 % unary 9
% 4.44/1.32 % binary 8
% 4.44/1.32 % lits 54
% 4.44/1.32 % lits eq 0
% 4.44/1.32 % fd_pure 0
% 4.44/1.32 % fd_pseudo 0
% 4.44/1.32 % fd_cond 0
% 4.44/1.32 % fd_pseudo_cond 0
% 4.44/1.32 % AC symbols 0
% 4.44/1.32
% 4.44/1.32 % ------ Input Options Time Limit: Unbounded
% 4.44/1.32
% 4.44/1.32
% 4.44/1.32 % ------
% 4.44/1.32 % Current options:
% 4.44/1.32 % ------
% 4.44/1.32
% 4.44/1.32
% 4.44/1.32 %
% 4.44/1.32
% 4.44/1.32 % ------ Proving...
% 4.44/1.32 %
% 4.44/1.32
% 4.44/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 4.44/1.32
% 4.44/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.44/1.32
% 4.44/1.32
%------------------------------------------------------------------------------