%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN654-1 : 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 : n020.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 2.67s 1.28s
% Output : CNFRefutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 61 ( 36 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-8 aty)
% Number of variables : 127 ( 0 sgn 127 !; 0 ?; 95 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p8(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).
fof(f10,negated_conjecture,
~ p8(c22,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_10) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] :
( ~ p8(X2,X1)
| ~ p8(X2,X0)
| p8(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_18) ).
fof(f27,negated_conjecture,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_27) ).
fof(f31,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ p3(f11(X2,X3,X4,X0,X5,X6),f11(X7,X8,X9,X1,X10,X11))
| p8(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_31) ).
fof(f36,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ p21(f11(X2,X3,X6,X0,X7,X4),X5)
| p8(X0,f16(X1,X2,X3,X4,X5,X6,X0,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_36) ).
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_99,negated_conjecture,
! [X0: $i] : p8(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_106,negated_conjecture,
~ p8(c22,c23),
inference(cnf_transformation,[],[f10]) ).
tcf(c_114,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p8(X1,X2)
| ~ p8(X0,X2)
| ~ p8(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_123,negated_conjecture,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
inference(cnf_transformation,[],[f27]) ).
tcf(c_127,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] :
( p8(X3,X9)
| ~ p3(f11(X0,X1,X2,X3,X4,X5),f11(X6,X7,X8,X9,X10,X11)) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_132,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( p8(X3,f16(X7,X0,X1,X5,X6,X2,X3,X4))
| ~ p21(f11(X0,X1,X2,X3,X4,X5),X6) ),
inference(cnf_transformation,[],[f36]) ).
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_151,plain,
p8(c22,c22),
inference(instantiation,[status(thm)],[c_99]) ).
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_1055,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] :
( p8(X0_iProver_f14_7,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))
| ~ 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_132]) ).
tcf(c_1060,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] :
( p8(X0_iProver_f14_7,X1_iProver_f14_7)
| ~ 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_127]) ).
tcf(c_1064,negated_conjecture,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
inference(subtyping,[status(esa)],[c_123]) ).
tcf(c_1073,negated_conjecture,
! [X0_iProver_f14_7: iProver_f14_7,X1_iProver_f14_7: iProver_f14_7,X2_iProver_f14_7: iProver_f14_7] :
( p8(X1_iProver_f14_7,X2_iProver_f14_7)
| ~ p8(X0_iProver_f14_7,X2_iProver_f14_7)
| ~ p8(X0_iProver_f14_7,X1_iProver_f14_7) ),
inference(subtyping,[status(esa)],[c_114]) ).
tcf(c_1080,negated_conjecture,
~ p8(c22,c23),
inference(subtyping,[status(esa)],[c_106]) ).
tcf(c_1087,negated_conjecture,
! [X0_iProver_f14_7: iProver_f14_7] : p8(X0_iProver_f14_7,X0_iProver_f14_7),
inference(subtyping,[status(esa)],[c_99]) ).
tcf(c_1251,plain,
! [X0_iProver_f14_7: iProver_f14_7] :
( ~ p8(X0_iProver_f14_7,c23)
| ~ p8(X0_iProver_f14_7,c22) ),
inference(resolution,[status(thm)],[c_1073,c_1080]) ).
tcf(c_1256,plain,
! [X0_iProver_f14_7: iProver_f14_7,X1_iProver_f14_7: iProver_f14_7] :
( ~ p8(X1_iProver_f14_7,c22)
| ~ p8(X0_iProver_f14_7,c23)
| ~ p8(X0_iProver_f14_7,X1_iProver_f14_7) ),
inference(resolution,[status(thm)],[c_1251,c_1073]) ).
tcf(c_1277,plain,
! [X0_iProver_f15_1: iProver_f15_1] :
( p8(c22,f16(X0_iProver_f15_1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))
| ~ p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)) ),
inference(instantiation,[status(thm)],[c_1055]) ).
tcf(c_1278,plain,
( p8(c22,f16(iProver_bot,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))
| ~ p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)) ),
inference(instantiation,[status(thm)],[c_1277]) ).
tcf(c_1390,plain,
! [X0_iProver_f14_7: iProver_f14_7] :
( ~ p8(c23,X0_iProver_f14_7)
| ~ p8(X0_iProver_f14_7,c22) ),
inference(resolution,[status(thm)],[c_1256,c_1087]) ).
tcf(c_1423,plain,
! [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_8: iProver_f14_8,X1_iProver_f11_6: iProver_f11_6] :
( ~ p8(X0_iProver_f14_7,c22)
| ~ p3(f11(X0_iProver_f14_2,X0_iProver_f14_3,X0_iProver_f14_6,c23,X0_iProver_f14_8,X0_iProver_f11_6),f11(X1_iProver_f14_2,X1_iProver_f14_3,X1_iProver_f14_6,X0_iProver_f14_7,X1_iProver_f14_8,X1_iProver_f11_6)) ),
inference(resolution,[status(thm)],[c_1390,c_1060]) ).
tcf(c_1524,plain,
! [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,X1_iProver_f14_2: iProver_f14_2,X1_iProver_f14_3: iProver_f14_3,X1_iProver_f14_6: iProver_f14_6,X1_iProver_f14_8: iProver_f14_8,X1_iProver_f11_6: iProver_f11_6] :
( ~ p21(f11(X0_iProver_f14_2,X0_iProver_f14_3,X1_iProver_f14_6,X0_iProver_f14_7,X1_iProver_f14_8,X0_iProver_f11_6),f11(X1_iProver_f14_2,X1_iProver_f14_3,X0_iProver_f14_6,c23,X0_iProver_f14_8,X1_iProver_f11_6))
| ~ p8(f16(X0_iProver_f15_1,X0_iProver_f14_2,X0_iProver_f14_3,X0_iProver_f11_6,f11(X1_iProver_f14_2,X1_iProver_f14_3,X0_iProver_f14_6,c23,X0_iProver_f14_8,X1_iProver_f11_6),X1_iProver_f14_6,X0_iProver_f14_7,X1_iProver_f14_8),c22) ),
inference(resolution,[status(thm)],[c_1423,c_1044]) ).
tcf(c_1552,plain,
! [X0_iProver_f15_1: iProver_f15_1] : ~ p8(f16(X0_iProver_f15_1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c22),
inference(resolution,[status(thm)],[c_1524,c_1064]) ).
tcf(c_1568,plain,
! [X0_iProver_f14_7: iProver_f14_7,X0_iProver_f15_1: iProver_f15_1] :
( ~ p8(X0_iProver_f14_7,c22)
| ~ p8(X0_iProver_f14_7,f16(X0_iProver_f15_1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)) ),
inference(resolution,[status(thm)],[c_1552,c_1073]) ).
tcf(c_1569,plain,
( ~ p8(c22,c22)
| ~ p8(c22,f16(iProver_bot,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)) ),
inference(instantiation,[status(thm)],[c_1568]) ).
tcf(c_1570,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1569,c_1278,c_123,c_151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN654-1 : 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 : n020.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 02:01:04 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 2.67/1.28 % SZS status Started for theBenchmark.p
% 2.67/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.67/1.28
% 2.67/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.67/1.28
% 2.67/1.28 % ------ iProver source info
% 2.67/1.28
% 2.67/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.67/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.67/1.28 % git: non_committed_changes: false
% 2.67/1.28
% 2.67/1.28 % ------ Parsing...% successful
% 2.67/1.28
% 2.67/1.28
% 2.67/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.67/1.28
% 2.67/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.67/1.28
% 2.67/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.67/1.28 % ------ Proving...
% 2.67/1.28 % ------ Problem Properties
% 2.67/1.28
% 2.67/1.28 %
% 2.67/1.28 % clauses 46
% 2.67/1.28 % conjectures 46
% 2.67/1.28 % EPR 20
% 2.67/1.28 % Horn 46
% 2.67/1.28 % unary 12
% 2.67/1.28 % binary 15
% 2.67/1.28 % lits 148
% 2.67/1.28 % lits eq 0
% 2.67/1.28 % fd_pure 0
% 2.67/1.28 % fd_pseudo 0
% 2.67/1.28 % fd_cond 0
% 2.67/1.28 % fd_pseudo_cond 0
% 2.67/1.28 % AC symbols 0
% 2.67/1.28
% 2.67/1.28 % ------ Input Options Time Limit: Unbounded
% 2.67/1.28
% 2.67/1.28
% 2.67/1.28 % ------
% 2.67/1.28 % Current options:
% 2.67/1.28 % ------
% 2.67/1.28
% 2.67/1.28
% 2.67/1.28 %
% 2.67/1.28
% 2.67/1.28 % ------ Proving...
% 2.67/1.28 %
% 2.67/1.28
% 2.67/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.67/1.28
% 2.67/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.67/1.28
% 2.67/1.28
%------------------------------------------------------------------------------