%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN653-1 : 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 : n006.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 03:41:19 PM UTC 2026
% Result : Unsatisfiable 4.27s 1.51s
% Output : CNFRefutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 17 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 75 ( 44 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-8 aty)
% Number of variables : 161 ( 0 sgn 161 !; 0 ?; 123 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
fof(f9,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_9) ).
fof(f10,negated_conjecture,
~ p12(f13(c22),f13(c23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_10) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( ~ p7(X0,X1)
| p12(f13(X0),f13(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_13) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_22) ).
fof(f24,negated_conjecture,
! [X2,X0,X1] :
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_24) ).
fof(f27,negated_conjecture,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_27) ).
fof(f32,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ p3(f11(X2,X3,X0,X4,X5,X6),f11(X7,X8,X1,X9,X10,X11))
| p7(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_32) ).
fof(f37,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ p21(f11(X2,X3,X0,X6,X7,X4),X5)
| p12(f13(X0),f13(f17(X1,X2,X3,X4,X5,X0,X6,X7))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_37) ).
fof(f48,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ p21(f11(X2,X3,X5,X6,X7,X4),X0)
| p3(X0,f11(f19(X1,X2,X3,X4,X0,X5,X6,X7),f18(X1,X2,X3,X4,X0,X5,X6,X7),f17(X1,X2,X3,X4,X0,X5,X6,X7),f16(X1,X2,X3,X4,X0,X5,X6,X7),f15(X1,X2,X3,X4,X0,X5,X6,X7),f14(X1,X2,X3,X4,X0,X5,X6,X7))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_48) ).
tcf(c_103,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f7]) ).
tcf(c_105,negated_conjecture,
! [X0: $i] : p12(X0,X0),
inference(cnf_transformation,[],[f9]) ).
tcf(c_106,negated_conjecture,
~ p12(f13(c22),f13(c23)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_109,negated_conjecture,
! [X0: $i,X1: $i] :
( p12(f13(X0),f13(X1))
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_118,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_120,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p12(X1,X2)
| ~ p12(X0,X2)
| ~ p12(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_123,negated_conjecture,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
inference(cnf_transformation,[],[f27]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( p7(X2,X8)
| ~ p3(f11(X0,X1,X2,X3,X4,X5),f11(X6,X7,X8,X9,X10,X11)) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_133,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( p12(f13(X2),f13(f17(X7,X0,X1,X5,X6,X2,X3,X4)))
| ~ p21(f11(X0,X1,X2,X3,X4,X5),X6) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_144,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( p3(X6,f11(f19(X7,X0,X1,X5,X6,X2,X3,X4),f18(X7,X0,X1,X5,X6,X2,X3,X4),f17(X7,X0,X1,X5,X6,X2,X3,X4),f16(X7,X0,X1,X5,X6,X2,X3,X4),f15(X7,X0,X1,X5,X6,X2,X3,X4),f14(X7,X0,X1,X5,X6,X2,X3,X4)))
| ~ p21(f11(X0,X1,X2,X3,X4,X5),X6) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_1044,negated_conjecture,
! [X0_iProver_f14_5: iProver_f14_5,X0_iProver_f14_2: iProver_f14_2,X0_iProver_f14_3: iProver_f14_3,X0_iProver_f14_6: iProver_f14_6,X0_iProver_f14_7: iProver_f14_7,X0_iProver_f14_8: iProver_f14_8,X0_iProver_f11_6: iProver_f11_6,X0_iProver_f15_1: iProver_f15_1] :
( p3(X0_iProver_f14_5,f11(f19(X0_iProver_f15_1,X0_iProver_f14_2,X0_iProver_f14_3,X0_iProver_f11_6,X0_iProver_f14_5,X0_iProver_f14_6,X0_iProver_f14_7,X0_iProver_f14_8),f18(X0_iProver_f15_1,X0_iProver_f14_2,X0_iProver_f14_3,X0_iProver_f11_6,X0_iProver_f14_5,X0_iProver_f14_6,X0_iProver_f14_7,X0_iProver_f14_8),f17(X0_iProver_f15_1,X0_iProver_f14_2,X0_iProver_f14_3,X0_iProver_f11_6,X0_iProver_f14_5,X0_iProver_f14_6,X0_iProver_f14_7,X0_iProver_f14_8),f16(X0_iProver_f15_1,X0_iProver_f14_2,X0_iProver_f14_3,X0_iProver_f11_6,X0_iProver_f14_5,X0_iProver_f14_6,X0_iProver_f14_7,X0_iProver_f14_8),f15(X0_iProver_f15_1,X0_iProver_f14_2,X0_iProver_f14_3,X0_iProver_f11_6,X0_iProver_f14_5,X0_iProver_f14_6,X0_iProver_f14_7,X0_iProver_f14_8),f14(X0_iProver_f15_1,X0_iProver_f14_2,X0_iProver_f14_3,X0_iProver_f11_6,X0_iProver_f14_5,X0_iProver_f14_6,X0_iProver_f14_7,X0_iProver_f14_8)))
| ~ p21(f11(X0_iProver_f14_2,X0_iProver_f14_3,X0_iProver_f14_6,X0_iProver_f14_7,X0_iProver_f14_8,X0_iProver_f11_6),X0_iProver_f14_5) ),
inference(subtyping,[status(esa)],[c_144]) ).
tcf(c_1054,negated_conjecture,
! [X0_iProver_f14_5: iProver_f14_5,X0_iProver_f14_2: iProver_f14_2,X0_iProver_f14_3: iProver_f14_3,X0_iProver_f14_6: iProver_f14_6,X0_iProver_f14_7: iProver_f14_7,X0_iProver_f14_8: iProver_f14_8,X0_iProver_f11_6: iProver_f11_6,X0_iProver_f15_1: iProver_f15_1] :
( p12(f13(X0_iProver_f14_6),f13(f17(X0_iProver_f15_1,X0_iProver_f14_2,X0_iProver_f14_3,X0_iProver_f11_6,X0_iProver_f14_5,X0_iProver_f14_6,X0_iProver_f14_7,X0_iProver_f14_8)))
| ~ p21(f11(X0_iProver_f14_2,X0_iProver_f14_3,X0_iProver_f14_6,X0_iProver_f14_7,X0_iProver_f14_8,X0_iProver_f11_6),X0_iProver_f14_5) ),
inference(subtyping,[status(esa)],[c_133]) ).
tcf(c_1059,negated_conjecture,
! [X0_iProver_f14_2: iProver_f14_2,X0_iProver_f14_3: iProver_f14_3,X0_iProver_f14_6: iProver_f14_6,X0_iProver_f14_7: iProver_f14_7,X0_iProver_f14_8: iProver_f14_8,X0_iProver_f11_6: iProver_f11_6,X1_iProver_f14_2: iProver_f14_2,X1_iProver_f14_3: iProver_f14_3,X1_iProver_f14_6: iProver_f14_6,X1_iProver_f14_7: iProver_f14_7,X1_iProver_f14_8: iProver_f14_8,X1_iProver_f11_6: iProver_f11_6] :
( p7(X0_iProver_f14_6,X1_iProver_f14_6)
| ~ p3(f11(X0_iProver_f14_2,X0_iProver_f14_3,X0_iProver_f14_6,X0_iProver_f14_7,X0_iProver_f14_8,X0_iProver_f11_6),f11(X1_iProver_f14_2,X1_iProver_f14_3,X1_iProver_f14_6,X1_iProver_f14_7,X1_iProver_f14_8,X1_iProver_f11_6)) ),
inference(subtyping,[status(esa)],[c_128]) ).
tcf(c_1064,negated_conjecture,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
inference(subtyping,[status(esa)],[c_123]) ).
tcf(c_1067,negated_conjecture,
! [X0_iProver_p12_2: iProver_p12_2,X1_iProver_p12_2: iProver_p12_2,X2_iProver_p12_2: iProver_p12_2] :
( p12(X1_iProver_p12_2,X2_iProver_p12_2)
| ~ p12(X0_iProver_p12_2,X2_iProver_p12_2)
| ~ p12(X0_iProver_p12_2,X1_iProver_p12_2) ),
inference(subtyping,[status(esa)],[c_120]) ).
tcf(c_1069,negated_conjecture,
! [X0_iProver_f14_5: iProver_f14_5,X1_iProver_f14_5: iProver_f14_5,X2_iProver_f14_5: iProver_f14_5] :
( p3(X1_iProver_f14_5,X2_iProver_f14_5)
| ~ p3(X0_iProver_f14_5,X2_iProver_f14_5)
| ~ p3(X0_iProver_f14_5,X1_iProver_f14_5) ),
inference(subtyping,[status(esa)],[c_118]) ).
tcf(c_1077,negated_conjecture,
! [X0_iProver_f14_6: iProver_f14_6,X1_iProver_f14_6: iProver_f14_6] :
( p12(f13(X0_iProver_f14_6),f13(X1_iProver_f14_6))
| ~ p7(X0_iProver_f14_6,X1_iProver_f14_6) ),
inference(subtyping,[status(esa)],[c_109]) ).
tcf(c_1080,negated_conjecture,
~ p12(f13(c22),f13(c23)),
inference(subtyping,[status(esa)],[c_106]) ).
tcf(c_1081,negated_conjecture,
! [X0_iProver_p12_2: iProver_p12_2] : p12(X0_iProver_p12_2,X0_iProver_p12_2),
inference(subtyping,[status(esa)],[c_105]) ).
tcf(c_1083,negated_conjecture,
! [X0_iProver_f14_5: iProver_f14_5] : p3(X0_iProver_f14_5,X0_iProver_f14_5),
inference(subtyping,[status(esa)],[c_103]) ).
tcf(c_1169,plain,
! [X0_iProver_p12_2: iProver_p12_2] :
( ~ p12(X0_iProver_p12_2,f13(c23))
| ~ p12(X0_iProver_p12_2,f13(c22)) ),
inference(resolution,[status(thm)],[c_1067,c_1080]) ).
tcf(c_1173,plain,
! [X0_iProver_f14_6: iProver_f14_6] :
( ~ p7(X0_iProver_f14_6,c23)
| ~ p12(f13(X0_iProver_f14_6),f13(c22)) ),
inference(resolution,[status(thm)],[c_1169,c_1077]) ).
tcf(c_1185,plain,
! [X0_iProver_f14_6: iProver_f14_6,X0_iProver_p12_2: iProver_p12_2] :
( ~ p7(X0_iProver_f14_6,c23)
| ~ p12(X0_iProver_p12_2,f13(c22))
| ~ p12(X0_iProver_p12_2,f13(X0_iProver_f14_6)) ),
inference(resolution,[status(thm)],[c_1173,c_1067]) ).
tcf(c_1623,plain,
! [X0_iProver_f14_6: iProver_f14_6] :
( ~ p7(X0_iProver_f14_6,c23)
| ~ p12(f13(c22),f13(X0_iProver_f14_6)) ),
inference(resolution,[status(thm)],[c_1185,c_1081]) ).
tcf(c_1661,plain,
! [X0_iProver_f14_5: iProver_f14_5,X0_iProver_f14_2: iProver_f14_2,X0_iProver_f14_3: iProver_f14_3,X0_iProver_f14_7: iProver_f14_7,X0_iProver_f14_8: iProver_f14_8,X0_iProver_f11_6: iProver_f11_6,X0_iProver_f15_1: iProver_f15_1] :
( ~ p21(f11(X0_iProver_f14_2,X0_iProver_f14_3,c22,X0_iProver_f14_7,X0_iProver_f14_8,X0_iProver_f11_6),X0_iProver_f14_5)
| ~ p7(f17(X0_iProver_f15_1,X0_iProver_f14_2,X0_iProver_f14_3,X0_iProver_f11_6,X0_iProver_f14_5,c22,X0_iProver_f14_7,X0_iProver_f14_8),c23) ),
inference(resolution,[status(thm)],[c_1623,c_1054]) ).
tcf(c_1813,plain,
! [X0_iProver_f15_1: iProver_f15_1] : ~ p7(f17(X0_iProver_f15_1,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),c23),
inference(resolution,[status(thm)],[c_1661,c_1064]) ).
tcf(c_1817,plain,
! [X0_iProver_f14_2: iProver_f14_2,X0_iProver_f14_3: iProver_f14_3,X0_iProver_f14_7: iProver_f14_7,X0_iProver_f14_8: iProver_f14_8,X0_iProver_f11_6: iProver_f11_6,X0_iProver_f15_1: iProver_f15_1,X1_iProver_f14_2: iProver_f14_2,X1_iProver_f14_3: iProver_f14_3,X1_iProver_f14_7: iProver_f14_7,X1_iProver_f14_8: iProver_f14_8,X1_iProver_f11_6: iProver_f11_6] : ~ p3(f11(X0_iProver_f14_2,X0_iProver_f14_3,f17(X0_iProver_f15_1,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),X0_iProver_f14_7,X0_iProver_f14_8,X0_iProver_f11_6),f11(X1_iProver_f14_2,X1_iProver_f14_3,c23,X1_iProver_f14_7,X1_iProver_f14_8,X1_iProver_f11_6)),
inference(resolution,[status(thm)],[c_1813,c_1059]) ).
tcf(c_1822,plain,
! [X0_iProver_f14_5: iProver_f14_5,X0_iProver_f14_2: iProver_f14_2,X0_iProver_f14_3: iProver_f14_3,X0_iProver_f14_7: iProver_f14_7,X0_iProver_f14_8: iProver_f14_8,X0_iProver_f11_6: iProver_f11_6,X0_iProver_f15_1: iProver_f15_1,X1_iProver_f14_2: iProver_f14_2,X1_iProver_f14_3: iProver_f14_3,X1_iProver_f14_7: iProver_f14_7,X1_iProver_f14_8: iProver_f14_8,X1_iProver_f11_6: iProver_f11_6] :
( ~ p3(X0_iProver_f14_5,f11(X1_iProver_f14_2,X1_iProver_f14_3,c23,X1_iProver_f14_7,X1_iProver_f14_8,X1_iProver_f11_6))
| ~ p3(X0_iProver_f14_5,f11(X0_iProver_f14_2,X0_iProver_f14_3,f17(X0_iProver_f15_1,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),X0_iProver_f14_7,X0_iProver_f14_8,X0_iProver_f11_6)) ),
inference(resolution,[status(thm)],[c_1817,c_1069]) ).
tcf(c_1865,plain,
! [X0_iProver_f14_2: iProver_f14_2,X0_iProver_f14_3: iProver_f14_3,X0_iProver_f14_7: iProver_f14_7,X0_iProver_f14_8: iProver_f14_8,X0_iProver_f11_6: iProver_f11_6,X0_iProver_f15_1: iProver_f15_1,X1_iProver_f14_2: iProver_f14_2,X1_iProver_f14_3: iProver_f14_3,X1_iProver_f14_7: iProver_f14_7,X1_iProver_f14_8: iProver_f14_8,X1_iProver_f11_6: iProver_f11_6] : ~ p3(f11(X0_iProver_f14_2,X0_iProver_f14_3,c23,X0_iProver_f14_7,X0_iProver_f14_8,X0_iProver_f11_6),f11(X1_iProver_f14_2,X1_iProver_f14_3,f17(X0_iProver_f15_1,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),X1_iProver_f14_7,X1_iProver_f14_8,X1_iProver_f11_6)),
inference(resolution,[status(thm)],[c_1822,c_1083]) ).
tcf(c_1895,plain,
~ p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
inference(resolution,[status(thm)],[c_1865,c_1044]) ).
tcf(c_1896,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1895,c_123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN653-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.57 % Computer : n006.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Fri Sep 25 01:59:42 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.61 Running first-order theorem proving
% 0.09/0.61 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
% 0.09/0.62
% 0.09/0.62 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.62
% 0.09/0.62 % Detected problem language: tptp
% 0.14/0.64 % Proving...
% 4.27/1.51 % SZS status Started for theBenchmark.p
% 4.27/1.51 % SZS status Unsatisfiable for theBenchmark.p
% 4.27/1.51
% 4.27/1.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.27/1.51
% 4.27/1.51 % ------ iProver source info
% 4.27/1.51
% 4.27/1.51 % git: date: 2026-07-19 20:42:38 +0200
% 4.27/1.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.27/1.51 % git: non_committed_changes: false
% 4.27/1.51
% 4.27/1.51 % ------ Parsing...% successful
% 4.27/1.51
% 4.27/1.51
% 4.27/1.51 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.27/1.51
% 4.27/1.51 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.27/1.51
% 4.27/1.51 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.27/1.51 % ------ Proving...
% 4.27/1.51 % ------ Problem Properties
% 4.27/1.51
% 4.27/1.51 %
% 4.27/1.51 % clauses 46
% 4.27/1.51 % conjectures 46
% 4.27/1.51 % EPR 19
% 4.27/1.51 % Horn 46
% 4.27/1.51 % unary 12
% 4.27/1.51 % binary 15
% 4.27/1.51 % lits 148
% 4.27/1.51 % lits eq 0
% 4.27/1.51 % fd_pure 0
% 4.27/1.51 % fd_pseudo 0
% 4.27/1.51 % fd_cond 0
% 4.27/1.51 % fd_pseudo_cond 0
% 4.27/1.51 % AC symbols 0
% 4.27/1.51
% 4.27/1.51 % ------ Input Options Time Limit: Unbounded
% 4.27/1.51
% 4.27/1.51
% 4.27/1.51 % ------
% 4.27/1.51 % Current options:
% 4.27/1.51 % ------
% 4.27/1.51
% 4.27/1.51
% 4.27/1.51 %
% 4.27/1.51
% 4.27/1.51 % ------ Proving...
% 4.27/1.51 %
% 4.27/1.51
% 4.27/1.51 % SZS status Unsatisfiable for theBenchmark.p
% 4.27/1.51
% 4.27/1.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.27/1.51
% 4.27/1.51
%------------------------------------------------------------------------------