%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN602-1 : 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 : n009.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 03:41:11 PM UTC 2026
% Result : Unsatisfiable 3.50s 1.28s
% Output : CNFRefutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 72 ( 38 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
fof(f3,negated_conjecture,
p15(c22,c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_3) ).
fof(f4,negated_conjecture,
p2(f3(c18),c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p2(c22,f9(c20,c23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
fof(f16,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(c18),f3(c18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
fof(f21,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f6(X0,X1),f6(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_21) ).
fof(f26,negated_conjecture,
! [X0,X1] :
( ~ p2(f7(f8(c21,X0),c20),f6(f5(c18),c19))
| ~ p2(X0,f9(c20,X1))
| ~ p15(X0,c21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_26) ).
tcf(c_80,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_81,negated_conjecture,
p15(c22,c21),
inference(cnf_transformation,[],[f3]) ).
tcf(c_82,negated_conjecture,
p2(f3(c18),c19),
inference(cnf_transformation,[],[f4]) ).
tcf(c_83,negated_conjecture,
p2(c22,f9(c20,c23)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_92,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_94,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(c18),f3(c18))),
inference(cnf_transformation,[],[f16]) ).
tcf(c_99,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f6(X0,X2),f6(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_104,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ p15(X0,c21)
| ~ p2(X0,f9(c20,X1))
| ~ p2(f7(f8(c21,X0),c20),f6(f5(c18),c19)) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_374,plain,
! [X0: $i] :
( ~ p15(c22,c21)
| ~ p2(c22,f9(c20,X0))
| ~ p2(f7(f8(c21,c22),c20),f6(f5(c18),c19)) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_382,plain,
! [X0: $i] :
( p2(f7(f8(c21,c22),c20),f6(f5(c18),c19))
| ~ p2(X0,f6(f5(c18),c19))
| ~ p2(X0,f7(f8(c21,c22),c20)) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_411,plain,
! [X0: $i,X1: $i] :
( p2(f7(f8(c21,c22),c20),f6(f5(c18),c19))
| ~ p2(f6(X0,X1),f6(f5(c18),c19))
| ~ p2(f6(X0,X1),f7(f8(c21,c22),c20)) ),
inference(instantiation,[status(thm)],[c_382]) ).
tcf(c_412,plain,
! [X0: $i,X1: $i] :
( p2(f6(X0,X1),f6(f5(c18),c19))
| ~ p2(X1,c19)
| ~ p2(X0,f5(c18)) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_456,plain,
! [X0: $i] :
( p2(f6(X0,f3(c18)),f6(f5(c18),c19))
| ~ p2(f3(c18),c19)
| ~ p2(X0,f5(c18)) ),
inference(instantiation,[status(thm)],[c_412]) ).
tcf(c_460,plain,
! [X0: $i,X1: $i] :
( p2(X1,f7(f8(c21,c22),c20))
| ~ p2(X0,X1)
| ~ p2(X0,f7(f8(c21,c22),c20)) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_488,plain,
( p2(f6(f5(c18),f3(c18)),f6(f5(c18),c19))
| ~ p2(f3(c18),c19)
| ~ p2(f5(c18),f5(c18)) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_489,plain,
p2(f5(c18),f5(c18)),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_518,plain,
! [X0: $i] :
( p2(X0,f7(f8(c21,c22),c20))
| ~ p2(f7(f8(c21,c22),c20),X0)
| ~ p2(f7(f8(c21,c22),c20),f7(f8(c21,c22),c20)) ),
inference(instantiation,[status(thm)],[c_460]) ).
tcf(c_519,plain,
p2(f7(f8(c21,c22),c20),f7(f8(c21,c22),c20)),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_549,plain,
( p2(f7(f8(c21,c22),c20),f6(f5(c18),c19))
| ~ p2(f6(f5(c18),f3(c18)),f6(f5(c18),c19))
| ~ p2(f6(f5(c18),f3(c18)),f7(f8(c21,c22),c20)) ),
inference(instantiation,[status(thm)],[c_411]) ).
tcf(c_586,plain,
( p2(f6(f5(c18),f3(c18)),f7(f8(c21,c22),c20))
| ~ p2(f7(f8(c21,c22),c20),f6(f5(c18),f3(c18)))
| ~ p2(f7(f8(c21,c22),c20),f7(f8(c21,c22),c20)) ),
inference(instantiation,[status(thm)],[c_518]) ).
tcf(c_873,plain,
( ~ p15(c22,c21)
| ~ p2(c22,f9(c20,c23))
| ~ p2(f7(f8(c21,c22),c20),f6(f5(c18),c19)) ),
inference(instantiation,[status(thm)],[c_374]) ).
tcf(c_874,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_873,c_586,c_549,c_519,c_489,c_488,c_94,c_83,c_82,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN602-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 01:51:28 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 3.50/1.28 % SZS status Started for theBenchmark.p
% 3.50/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.50/1.28
% 3.50/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.50/1.28
% 3.50/1.28 % ------ iProver source info
% 3.50/1.28
% 3.50/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.50/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.50/1.28 % git: non_committed_changes: false
% 3.50/1.28
% 3.50/1.28 % ------ Parsing...% successful
% 3.50/1.28
% 3.50/1.28
% 3.50/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.50/1.28
% 3.50/1.28 % ------ Preprocessing... sf_s rm: 10 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.50/1.28
% 3.50/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.50/1.28 % ------ Proving...
% 3.50/1.28 % ------ Problem Properties
% 3.50/1.28
% 3.50/1.28 %
% 3.50/1.28 % clauses 20
% 3.50/1.28 % conjectures 20
% 3.50/1.28 % EPR 4
% 3.50/1.28 % Horn 20
% 3.50/1.28 % unary 6
% 3.50/1.28 % binary 5
% 3.50/1.28 % lits 46
% 3.50/1.28 % lits eq 0
% 3.50/1.28 % fd_pure 0
% 3.50/1.28 % fd_pseudo 0
% 3.50/1.28 % fd_cond 0
% 3.50/1.28 % fd_pseudo_cond 0
% 3.50/1.28 % AC symbols 0
% 3.50/1.28
% 3.50/1.28 % ------ Schedule dynamic 5 is on
% 3.50/1.28
% 3.50/1.28 % ------ no equalities: superposition off
% 3.50/1.28
% 3.50/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.50/1.28
% 3.50/1.28
% 3.50/1.28 % ------
% 3.50/1.28 % Current options:
% 3.50/1.28 % ------
% 3.50/1.28
% 3.50/1.28
% 3.50/1.28 %
% 3.50/1.28
% 3.50/1.28 % ------ Proving...
% 3.50/1.28 %
% 3.50/1.28
% 3.50/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.50/1.28
% 3.50/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.50/1.28
% 3.50/1.28
%------------------------------------------------------------------------------