%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN694-1 : 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 : n003.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 03:41:24 PM UTC 2026
% Result : Unsatisfiable 3.79s 1.08s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 64 ( 33 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f12,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f18,negated_conjecture,
p2(c44,c45),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).
fof(f36,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_36) ).
fof(f42,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_42) ).
fof(f46,negated_conjecture,
p31(f11(f4(f5(c42)),c43),f11(f4(c42),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31_46) ).
fof(f55,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_55) ).
fof(f56,negated_conjecture,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_56) ).
fof(f57,negated_conjecture,
! [X0] :
( ~ p31(f11(f4(f5(c42)),X0),f11(f4(c42),X0))
| p10(X0,c43) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_57) ).
fof(f61,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X0,X2)
| ~ p10(X1,X3)
| p2(f11(X0,X1),f11(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_61) ).
tcf(c_133,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f12]) ).
tcf(c_139,negated_conjecture,
p2(c44,c45),
inference(cnf_transformation,[],[f18]) ).
tcf(c_157,negated_conjecture,
! [X0: $i,X1: $i] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_163,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_167,negated_conjecture,
p31(f11(f4(f5(c42)),c43),f11(f4(c42),c43)),
inference(cnf_transformation,[],[f46]) ).
tcf(c_176,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(cnf_transformation,[],[f55]) ).
tcf(c_177,negated_conjecture,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(cnf_transformation,[],[f56]) ).
tcf(c_178,negated_conjecture,
! [X0: $i] :
( p10(X0,c43)
| ~ p31(f11(f4(f5(c42)),X0),f11(f4(c42),X0)) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_182,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f11(X2,X0),f11(X3,X1))
| ~ p3(X2,X3)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_667,plain,
( p10(c43,c43)
| ~ p31(f11(f4(f5(c42)),c43),f11(f4(c42),c43)) ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_670,plain,
! [X0: $i] :
( p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c45),c43))
| ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(instantiation,[status(thm)],[c_163]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i] :
( p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(f11(X0,X1),f11(f4(c45),c43))
| ~ p2(f11(X0,X1),f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(instantiation,[status(thm)],[c_670]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i] :
( p2(f11(X0,X1),f11(f4(c45),c43))
| ~ p10(X1,c43)
| ~ p3(X0,f4(c45)) ),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_740,plain,
! [X0: $i] :
( p3(f4(X0),f4(c45))
| ~ p2(X0,c45) ),
inference(instantiation,[status(thm)],[c_157]) ).
tcf(c_795,plain,
! [X0: $i] :
( p2(f11(X0,c43),f11(f4(c45),c43))
| ~ p10(c43,c43)
| ~ p3(X0,f4(c45)) ),
inference(instantiation,[status(thm)],[c_691]) ).
tcf(c_848,plain,
( p3(f4(c44),f4(c45))
| ~ p2(c44,c45) ),
inference(instantiation,[status(thm)],[c_740]) ).
tcf(c_1000,plain,
( p2(f11(f4(c44),c43),f11(f4(c45),c43))
| ~ p10(c43,c43)
| ~ p3(f4(c44),f4(c45)) ),
inference(instantiation,[status(thm)],[c_795]) ).
tcf(c_1982,plain,
( p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(f11(f4(c44),c43),f11(f4(c45),c43))
| ~ p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(instantiation,[status(thm)],[c_690]) ).
tcf(c_2640,plain,
! [X0: $i] :
( p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c44),c43))
| ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(instantiation,[status(thm)],[c_163]) ).
tcf(c_3295,plain,
( p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43))
| ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(instantiation,[status(thm)],[c_2640]) ).
tcf(c_3296,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_3297,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3296,c_3295,c_1982,c_1000,c_848,c_667,c_177,c_176,c_167,c_139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN694-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 02:08:09 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 3.79/1.08 % SZS status Started for theBenchmark.p
% 3.79/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 3.79/1.08
% 3.79/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.79/1.08
% 3.79/1.08 % ------ iProver source info
% 3.79/1.08
% 3.79/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 3.79/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.79/1.08 % git: non_committed_changes: false
% 3.79/1.08
% 3.79/1.08 % ------ Parsing...% successful
% 3.79/1.08
% 3.79/1.08
% 3.79/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.79/1.08
% 3.79/1.08 % ------ Preprocessing... sf_s rm: 39 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.79/1.08
% 3.79/1.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.79/1.08 % ------ Proving...
% 3.79/1.08 % ------ Problem Properties
% 3.79/1.08
% 3.79/1.08 %
% 3.79/1.08 % clauses 34
% 3.79/1.08 % conjectures 34
% 3.79/1.08 % EPR 10
% 3.79/1.08 % Horn 34
% 3.79/1.08 % unary 16
% 3.79/1.08 % binary 6
% 3.79/1.08 % lits 65
% 3.79/1.08 % lits eq 0
% 3.79/1.08 % fd_pure 0
% 3.79/1.08 % fd_pseudo 0
% 3.79/1.08 % fd_cond 0
% 3.79/1.08 % fd_pseudo_cond 0
% 3.79/1.08 % AC symbols 0
% 3.79/1.08
% 3.79/1.08 % ------ Schedule dynamic 5 is on
% 3.79/1.08
% 3.79/1.08 % ------ no equalities: superposition off
% 3.79/1.08
% 3.79/1.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.79/1.08
% 3.79/1.08
% 3.79/1.08 % ------
% 3.79/1.08 % Current options:
% 3.79/1.08 % ------
% 3.79/1.08
% 3.79/1.08
% 3.79/1.08 %
% 3.79/1.08
% 3.79/1.08 % ------ Proving...
% 3.79/1.08 %
% 3.79/1.08
% 3.79/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 3.79/1.08
% 3.79/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.79/1.08
% 3.79/1.08
%------------------------------------------------------------------------------