%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN618-1 : 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 : n008.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 03:41:14 PM UTC 2026
% Result : Unsatisfiable 3.63s 1.27s
% Output : CNFRefutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 18 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 102 ( 52 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p5(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).
fof(f5,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f8,negated_conjecture,
p13(c23,c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_8) ).
fof(f9,negated_conjecture,
p13(c19,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_9) ).
fof(f12,negated_conjecture,
p2(c17,f3(c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f16,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_16) ).
fof(f17,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p5_17) ).
fof(f19,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(f3(X0),f3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_19) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( ~ p5(X2,X1)
| ~ p5(X2,X0)
| p5(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_22) ).
fof(f24,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_24) ).
fof(f30,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p5(X1,X3)
| ~ p2(X0,X2)
| p5(f8(X0,X1),f8(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_30) ).
fof(f31,negated_conjecture,
! [X0] :
( ~ p5(f8(c17,X0),f6(f7(c22)))
| ~ p13(c19,X0)
| ~ p13(X0,c21)
| p5(X0,c20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_31) ).
tcf(c_84,negated_conjecture,
! [X0: $i] : p5(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_86,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_89,negated_conjecture,
p13(c23,c21),
inference(cnf_transformation,[],[f8]) ).
tcf(c_90,negated_conjecture,
p13(c19,c23),
inference(cnf_transformation,[],[f9]) ).
tcf(c_93,negated_conjecture,
p2(c17,f3(c16)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_97,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))),
inference(cnf_transformation,[],[f16]) ).
tcf(c_98,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
inference(cnf_transformation,[],[f17]) ).
tcf(c_100,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(f3(X0),f3(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_103,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p5(X1,X2)
| ~ p5(X0,X2)
| ~ p5(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_105,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_111,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p5(f8(X2,X0),f8(X3,X1))
| ~ p2(X2,X3)
| ~ p5(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_112,negated_conjecture,
! [X0: $i] :
( p5(X0,c20)
| ~ p13(c19,X0)
| ~ p13(X0,c21)
| ~ p5(f8(c17,X0),f6(f7(c22))) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_116,plain,
p2(c16,c16),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_121,plain,
( p2(f3(c16),f3(c16))
| ~ p2(c16,c16) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_351,plain,
( p5(c23,c20)
| ~ p13(c23,c21)
| ~ p13(c19,c23)
| ~ p5(f8(c17,c23),f6(f7(c22))) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_355,plain,
! [X0: $i] :
( p5(f8(f3(c16),c20),f6(f7(c22)))
| ~ p5(X0,f6(f7(c22)))
| ~ p5(X0,f8(f3(c16),c20)) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_366,plain,
( p5(f8(f3(c16),c20),f6(f7(c22)))
| ~ p5(f8(f3(c16),c23),f6(f7(c22)))
| ~ p5(f8(f3(c16),c23),f8(f3(c16),c20)) ),
inference(instantiation,[status(thm)],[c_355]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i] :
( p5(X1,f6(f7(c22)))
| ~ p5(X0,X1)
| ~ p5(X0,f6(f7(c22))) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_373,plain,
p5(c23,c23),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_395,plain,
( p5(f8(f3(c16),c23),f8(f3(c16),c20))
| ~ p5(c23,c20)
| ~ p2(f3(c16),f3(c16)) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_420,plain,
! [X0: $i] :
( p5(X0,f6(f7(c22)))
| ~ p5(f8(f3(c16),c23),X0)
| ~ p5(f8(f3(c16),c23),f6(f7(c22))) ),
inference(instantiation,[status(thm)],[c_371]) ).
tcf(c_481,plain,
! [X0: $i,X1: $i] :
( p5(f8(X0,X1),f6(f7(c22)))
| ~ p5(f8(f3(c16),c23),f6(f7(c22)))
| ~ p5(f8(f3(c16),c23),f8(X0,X1)) ),
inference(instantiation,[status(thm)],[c_420]) ).
tcf(c_482,plain,
! [X0: $i,X1: $i] :
( p5(f8(f3(c16),c23),f8(X0,X1))
| ~ p5(c23,X1)
| ~ p2(f3(c16),X0) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_659,plain,
! [X0: $i] :
( p5(f8(f3(c16),c23),f8(X0,c23))
| ~ p5(c23,c23)
| ~ p2(f3(c16),X0) ),
inference(instantiation,[status(thm)],[c_482]) ).
tcf(c_834,plain,
! [X0: $i,X1: $i] :
( p2(f3(c16),X1)
| ~ p2(X0,X1)
| ~ p2(X0,f3(c16)) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_976,plain,
! [X0: $i] :
( p2(f3(c16),X0)
| ~ p2(c17,X0)
| ~ p2(c17,f3(c16)) ),
inference(instantiation,[status(thm)],[c_834]) ).
tcf(c_1145,plain,
( p2(f3(c16),c17)
| ~ p2(c17,c17)
| ~ p2(c17,f3(c16)) ),
inference(instantiation,[status(thm)],[c_976]) ).
tcf(c_1146,plain,
p2(c17,c17),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_1540,plain,
( p5(f8(f3(c16),c23),f8(c17,c23))
| ~ p5(c23,c23)
| ~ p2(f3(c16),c17) ),
inference(instantiation,[status(thm)],[c_659]) ).
tcf(c_2526,plain,
( p5(f8(c17,c23),f6(f7(c22)))
| ~ p5(f8(f3(c16),c23),f6(f7(c22)))
| ~ p5(f8(f3(c16),c23),f8(c17,c23)) ),
inference(instantiation,[status(thm)],[c_481]) ).
tcf(c_2527,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2526,c_1540,c_1146,c_1145,c_395,c_373,c_366,c_351,c_98,c_121,c_97,c_93,c_116,c_89,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN618-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 01:55:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 3.63/1.27 % SZS status Started for theBenchmark.p
% 3.63/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.63/1.27
% 3.63/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.63/1.27
% 3.63/1.27 % ------ iProver source info
% 3.63/1.27
% 3.63/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 3.63/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.63/1.27 % git: non_committed_changes: false
% 3.63/1.27
% 3.63/1.27 % ------ Parsing...% successful
% 3.63/1.27
% 3.63/1.27
% 3.63/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.63/1.27
% 3.63/1.27 % ------ Preprocessing... sf_s rm: 13 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.63/1.27
% 3.63/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.63/1.27 % ------ Proving...
% 3.63/1.27 % ------ Problem Properties
% 3.63/1.27
% 3.63/1.27 %
% 3.63/1.27 % clauses 20
% 3.63/1.27 % conjectures 20
% 3.63/1.27 % EPR 10
% 3.63/1.27 % Horn 20
% 3.63/1.27 % unary 10
% 3.63/1.27 % binary 3
% 3.63/1.27 % lits 40
% 3.63/1.27 % lits eq 0
% 3.63/1.27 % fd_pure 0
% 3.63/1.27 % fd_pseudo 0
% 3.63/1.27 % fd_cond 0
% 3.63/1.27 % fd_pseudo_cond 0
% 3.63/1.27 % AC symbols 0
% 3.63/1.27
% 3.63/1.27 % ------ Schedule dynamic 5 is on
% 3.63/1.27
% 3.63/1.27 % ------ no equalities: superposition off
% 3.63/1.27
% 3.63/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.63/1.27
% 3.63/1.27
% 3.63/1.27 % ------
% 3.63/1.27 % Current options:
% 3.63/1.27 % ------
% 3.63/1.27
% 3.63/1.27
% 3.63/1.27 %
% 3.63/1.27
% 3.63/1.27 % ------ Proving...
% 3.63/1.27 %
% 3.63/1.27
% 3.63/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.63/1.27
% 3.63/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.63/1.28
% 3.63/1.28
%------------------------------------------------------------------------------