%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN655-1 : 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 : n015.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 3.91s 1.29s
% Output : CNFRefutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 9 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 72 ( 37 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 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 : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-8 aty)
% Number of variables : 86 ( 0 sgn 86 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p9(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
fof(f10,negated_conjecture,
~ p9(c22,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p9_10) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p9(X2,X1)
| ~ p9(X2,X0)
| p9(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_17) ).
fof(f27,negated_conjecture,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_27) ).
fof(f30,negated_conjecture,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ p3(f11(X2,X3,X4,X5,X0,X6),f11(X7,X8,X9,X10,X1,X11))
| p9(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_30) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ p21(f11(X2,X3,X6,X7,X0,X4),X5)
| p9(X0,f15(X1,X2,X3,X4,X5,X6,X7,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_35) ).
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/sandbox/benchmark/theBenchmark.p',p3_48) ).
tcf(c_98,negated_conjecture,
! [X0: $i] : p9(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_106,negated_conjecture,
~ p9(c22,c23),
inference(cnf_transformation,[],[f10]) ).
tcf(c_113,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p9(X1,X2)
| ~ p9(X0,X2)
| ~ p9(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_123,negated_conjecture,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
inference(cnf_transformation,[],[f27]) ).
tcf(c_126,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] :
( p9(X4,X10)
| ~ p3(f11(X0,X1,X2,X3,X4,X5),f11(X6,X7,X8,X9,X10,X11)) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_131,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( p9(X4,f15(X7,X0,X1,X5,X6,X2,X3,X4))
| ~ p21(f11(X0,X1,X2,X3,X4,X5),X6) ),
inference(cnf_transformation,[],[f35]) ).
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_152,plain,
p9(c22,c22),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_1049,plain,
! [X0: $i] :
( p9(c22,c23)
| ~ p9(X0,c23)
| ~ p9(X0,c22) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_1056,plain,
! [X0: $i] :
( p9(c22,f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))
| ~ p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_1057,plain,
( p9(c22,f15(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))
| ~ p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)) ),
inference(instantiation,[status(thm)],[c_1056]) ).
tcf(c_1068,plain,
! [X0: $i] :
( p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)))
| ~ p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_1069,plain,
( p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)))
| ~ p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)) ),
inference(instantiation,[status(thm)],[c_1068]) ).
tcf(c_1072,plain,
p9(c23,c23),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_1073,plain,
! [X0: $i,X1: $i] :
( p9(X1,c23)
| ~ p9(X0,c23)
| ~ p9(X0,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_1131,plain,
! [X0: $i] :
( p9(X0,c23)
| ~ p9(c23,c23)
| ~ p9(c23,X0) ),
inference(instantiation,[status(thm)],[c_1073]) ).
tcf(c_1203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( p9(c23,X9)
| ~ p3(f11(X0,X1,X2,X3,c23,X4),f11(X5,X6,X7,X8,X9,X10)) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_1372,plain,
! [X0: $i] :
( p9(c23,f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))
| ~ p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))) ),
inference(instantiation,[status(thm)],[c_1203]) ).
tcf(c_1373,plain,
( p9(c23,f15(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))
| ~ p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))) ),
inference(instantiation,[status(thm)],[c_1372]) ).
tcf(c_1691,plain,
! [X0: $i] :
( p9(f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23)
| ~ p9(c23,c23)
| ~ p9(c23,f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)) ),
inference(instantiation,[status(thm)],[c_1131]) ).
tcf(c_1692,plain,
( p9(f15(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23)
| ~ p9(c23,c23)
| ~ p9(c23,f15(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)) ),
inference(instantiation,[status(thm)],[c_1691]) ).
tcf(c_5973,plain,
! [X0: $i] :
( p9(c22,c23)
| ~ p9(f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23)
| ~ p9(f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22) ),
inference(instantiation,[status(thm)],[c_1049]) ).
tcf(c_5974,plain,
( p9(c22,c23)
| ~ p9(f15(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23)
| ~ p9(f15(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22) ),
inference(instantiation,[status(thm)],[c_5973]) ).
tcf(c_7713,plain,
! [X0: $i,X1: $i] :
( p9(f15(X1,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22)
| ~ p9(X0,c22)
| ~ p9(X0,f15(X1,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_7714,plain,
( p9(f15(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22)
| ~ p9(c22,c22)
| ~ p9(c22,f15(c22,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)) ),
inference(instantiation,[status(thm)],[c_7713]) ).
tcf(c_7715,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7714,c_5974,c_1692,c_1373,c_1072,c_1069,c_1057,c_123,c_106,c_152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN655-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 02:03:11 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 3.91/1.29 % SZS status Started for theBenchmark.p
% 3.91/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.91/1.29
% 3.91/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.91/1.29
% 3.91/1.29 % ------ iProver source info
% 3.91/1.29
% 3.91/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 3.91/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.91/1.29 % git: non_committed_changes: false
% 3.91/1.29
% 3.91/1.29 % ------ Parsing...% successful
% 3.91/1.29
% 3.91/1.29
% 3.91/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.91/1.29
% 3.91/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.91/1.29
% 3.91/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.91/1.29 % ------ Proving...
% 3.91/1.29 % ------ Problem Properties
% 3.91/1.29
% 3.91/1.29 %
% 3.91/1.29 % clauses 46
% 3.91/1.29 % conjectures 46
% 3.91/1.29 % EPR 20
% 3.91/1.29 % Horn 46
% 3.91/1.29 % unary 12
% 3.91/1.29 % binary 15
% 3.91/1.29 % lits 148
% 3.91/1.29 % lits eq 0
% 3.91/1.29 % fd_pure 0
% 3.91/1.29 % fd_pseudo 0
% 3.91/1.29 % fd_cond 0
% 3.91/1.29 % fd_pseudo_cond 0
% 3.91/1.29 % AC symbols 0
% 3.91/1.29
% 3.91/1.29 % ------ Schedule dynamic 5 is on
% 3.91/1.29
% 3.91/1.29 % ------ no equalities: superposition off
% 3.91/1.29
% 3.91/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.91/1.29
% 3.91/1.29
% 3.91/1.29 % ------
% 3.91/1.29 % Current options:
% 3.91/1.29 % ------
% 3.91/1.29
% 3.91/1.29
% 3.91/1.29 %
% 3.91/1.29
% 3.91/1.29 % ------ Proving...
% 3.91/1.29 %
% 3.91/1.29
% 3.91/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.91/1.29
% 3.91/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.91/1.29
% 3.91/1.29
%------------------------------------------------------------------------------