%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN634-1 : 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 : n002.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 03:41:16 PM UTC 2026
% Result : Unsatisfiable 1.89s 1.29s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 50 ( 21 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
~ p3(c23,f8(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_7) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] : p3(f4(f6(X0,f7(X1,X2))),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
fof(f25,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_25) ).
fof(f26,negated_conjecture,
! [X0] :
( ~ p22(X0,f16(f6(c25,f7(c23,c26))))
| p21(f12(f13(c28,c29)),f12(f13(c28,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_26) ).
fof(f36,negated_conjecture,
! [X2,X0,X1] :
( p10(f11(X0,c27,X1),f11(X0,c27,X2))
| p22(f18(X0,X1,X2),f16(X0))
| p3(f4(X0),f8(c24)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_36) ).
fof(f39,negated_conjecture,
! [X2,X0,X1] :
( ~ p21(f12(f13(X1,X2)),f12(f13(X1,f18(X0,X1,X2))))
| p10(f11(X0,c27,X1),f11(X0,c27,X2))
| p3(f4(X0),f8(c24)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_39) ).
tcf(c_95,negated_conjecture,
~ p3(c23,f8(c24)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_96,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : p3(f4(f6(X0,f7(X1,X2))),X1),
inference(cnf_transformation,[],[f8]) ).
tcf(c_105,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_113,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
inference(cnf_transformation,[],[f25]) ).
tcf(c_114,negated_conjecture,
! [X0: $i] :
( p21(f12(f13(c28,c29)),f12(f13(c28,X0)))
| ~ p22(X0,f16(f6(c25,f7(c23,c26)))) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_124,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(f4(X0),f8(c24))
| p22(f18(X0,X1,X2),f16(X0))
| p10(f11(X0,c27,X1),f11(X0,c27,X2)) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_127,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(f4(X2),f8(c24))
| p10(f11(X2,c27,X0),f11(X2,c27,X1))
| ~ p21(f12(f13(X0,X1)),f12(f13(X0,f18(X2,X0,X1)))) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_365,plain,
! [X0: $i] :
( p3(c23,f8(c24))
| ~ p3(X0,c23)
| ~ p3(X0,f8(c24)) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_377,plain,
! [X0: $i,X1: $i] :
( p3(c23,f8(c24))
| ~ p3(f4(f6(X0,f7(c23,X1))),c23)
| ~ p3(f4(f6(X0,f7(c23,X1))),f8(c24)) ),
inference(instantiation,[status(thm)],[c_365]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] : p3(f4(f6(X0,f7(c23,X1))),c23),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p3(f4(f6(X0,f7(c23,X1))),f8(c24))
| p22(f18(f6(X0,f7(c23,X1)),X2,X3),f16(f6(X0,f7(c23,X1))))
| p10(f11(f6(X0,f7(c23,X1)),c27,X2),f11(f6(X0,f7(c23,X1)),c27,X3)) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p3(f4(f6(X2,f7(c23,X3))),f8(c24))
| p10(f11(f6(X2,f7(c23,X3)),c27,X0),f11(f6(X2,f7(c23,X3)),c27,X1))
| ~ p21(f12(f13(X0,X1)),f12(f13(X0,f18(f6(X2,f7(c23,X3)),X0,X1)))) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_465,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p22(f18(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))
| p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ),
inference(instantiation,[status(thm)],[c_393]) ).
tcf(c_474,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
| ~ p21(f12(f13(c28,c29)),f12(f13(c28,f18(f6(c25,f7(c23,c26)),c28,c29)))) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_506,plain,
( p3(c23,f8(c24))
| ~ p3(f4(f6(c25,f7(c23,c26))),c23)
| ~ p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
inference(instantiation,[status(thm)],[c_377]) ).
tcf(c_750,plain,
p3(f4(f6(c25,f7(c23,c26))),c23),
inference(instantiation,[status(thm)],[c_378]) ).
tcf(c_923,plain,
( p21(f12(f13(c28,c29)),f12(f13(c28,f18(f6(c25,f7(c23,c26)),c28,c29))))
| ~ p22(f18(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26)))) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_924,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_923,c_750,c_506,c_474,c_465,c_113,c_95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN634-1 : 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 : n002.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 01:59:22 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
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.89/1.29 % SZS status Started for theBenchmark.p
% 1.89/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.89/1.29
% 1.89/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.89/1.29
% 1.89/1.29 % ------ iProver source info
% 1.89/1.29
% 1.89/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.89/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.89/1.29 % git: non_committed_changes: false
% 1.89/1.29
% 1.89/1.29 % ------ Parsing...% successful
% 1.89/1.29
% 1.89/1.29
% 1.89/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.89/1.29
% 1.89/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.89/1.29
% 1.89/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.89/1.29 % ------ Proving...
% 1.89/1.29 % ------ Problem Properties
% 1.89/1.29
% 1.89/1.29 %
% 1.89/1.29 % clauses 40
% 1.89/1.29 % conjectures 40
% 1.89/1.29 % EPR 14
% 1.89/1.29 % Horn 32
% 1.89/1.29 % unary 9
% 1.89/1.29 % binary 7
% 1.89/1.29 % lits 102
% 1.89/1.29 % lits eq 0
% 1.89/1.29 % fd_pure 0
% 1.89/1.29 % fd_pseudo 0
% 1.89/1.29 % fd_cond 0
% 1.89/1.29 % fd_pseudo_cond 0
% 1.89/1.29 % AC symbols 0
% 1.89/1.29
% 1.89/1.29 % ------ Schedule dynamic 5 is on
% 1.89/1.29
% 1.89/1.29 % ------ no equalities: superposition off
% 1.89/1.29
% 1.89/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.89/1.29
% 1.89/1.29
% 1.89/1.29 % ------
% 1.89/1.29 % Current options:
% 1.89/1.29 % ------
% 1.89/1.29
% 1.89/1.29
% 1.89/1.29 %
% 1.89/1.29
% 1.89/1.29 % ------ Proving...
% 1.89/1.29 %
% 1.89/1.29
% 1.89/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.89/1.29
% 1.89/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.89/1.29
% 1.89/1.29
%------------------------------------------------------------------------------