%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN621-1 : 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 : n006.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 2.01s 1.28s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 16 ~; 21 |; 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 : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-4 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
~ p2(c23,f3(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_7) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] :
( ~ p21(X2,X1)
| ~ p21(X0,X2)
| p21(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_18) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( p22(f20(X1,X0,X2,X3),f14(f11(X1,f12(X0,X2))))
| p2(X0,f3(c24)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).
fof(f31,negated_conjecture,
! [X0] :
( ~ p22(X0,f14(f11(c25,f12(c23,c26))))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_31) ).
fof(f32,negated_conjecture,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p21_32) ).
fof(f34,negated_conjecture,
! [X2,X3,X0,X1] :
( p21(f5(f6(X1,f20(X2,X0,X3,X1))),f15(f19(f11(X2,f12(X0,X3)),X1),f16(f3(f17(f18(c24))))))
| p2(X0,f3(c24)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_34) ).
tcf(c_89,negated_conjecture,
~ p2(c23,f3(c24)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_100,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p21(X0,X2)
| ~ p21(X1,X2)
| ~ p21(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_110,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(X1,f3(c24))
| p22(f20(X0,X1,X2,X3),f14(f11(X0,f12(X1,X2)))) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_113,negated_conjecture,
! [X0: $i] :
( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X0)))
| ~ p22(X0,f14(f11(c25,f12(c23,c26)))) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_114,negated_conjecture,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
inference(cnf_transformation,[],[f32]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(X2,f3(c24))
| p21(f5(f6(X0,f20(X1,X2,X3,X0))),f15(f19(f11(X1,f12(X2,X3)),X0),f16(f3(f17(f18(c24)))))) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_306,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(c23,f3(c24))
| p22(f20(X0,c23,X1,X2),f14(f11(X0,f12(c23,X1)))) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_308,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(c23,f3(c24))
| p21(f5(f6(X0,f20(X1,c23,X2,X0))),f15(f19(f11(X1,f12(c23,X2)),X0),f16(f3(f17(f18(c24)))))) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_316,plain,
! [X0: $i] :
( p2(c23,f3(c24))
| p22(f20(c25,c23,c26,X0),f14(f11(c25,f12(c23,c26)))) ),
inference(instantiation,[status(thm)],[c_306]) ).
tcf(c_317,plain,
! [X0: $i] :
( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,X0))))
| ~ p22(f20(c25,c23,c26,X0),f14(f11(c25,f12(c23,c26)))) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_329,plain,
! [X0: $i,X1: $i] :
( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),X1)
| ~ p21(f5(f6(c27,f20(c25,c23,c26,X0))),X1)
| ~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,X0)))) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_368,plain,
( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24))))))
| ~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,c27))))
| ~ p21(f5(f6(c27,f20(c25,c23,c26,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))) ),
inference(instantiation,[status(thm)],[c_329]) ).
tcf(c_369,plain,
( p2(c23,f3(c24))
| p21(f5(f6(c27,f20(c25,c23,c26,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))) ),
inference(instantiation,[status(thm)],[c_308]) ).
tcf(c_609,plain,
( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,c27))))
| ~ p22(f20(c25,c23,c26,c27),f14(f11(c25,f12(c23,c26)))) ),
inference(instantiation,[status(thm)],[c_317]) ).
tcf(c_1088,plain,
( p2(c23,f3(c24))
| p22(f20(c25,c23,c26,c27),f14(f11(c25,f12(c23,c26)))) ),
inference(instantiation,[status(thm)],[c_316]) ).
tcf(c_1089,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1088,c_609,c_369,c_368,c_114,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN621-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n006.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 01:54:41 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 2.01/1.28 % SZS status Started for theBenchmark.p
% 2.01/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.01/1.28
% 2.01/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.01/1.28
% 2.01/1.28 % ------ iProver source info
% 2.01/1.28
% 2.01/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.01/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.01/1.28 % git: non_committed_changes: false
% 2.01/1.28
% 2.01/1.28 % ------ Parsing...% successful
% 2.01/1.28
% 2.01/1.28
% 2.01/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.01/1.28
% 2.01/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.01/1.28
% 2.01/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.01/1.28 % ------ Proving...
% 2.01/1.28 % ------ Problem Properties
% 2.01/1.28
% 2.01/1.28 %
% 2.01/1.28 % clauses 34
% 2.01/1.28 % conjectures 34
% 2.01/1.28 % EPR 15
% 2.01/1.28 % Horn 31
% 2.01/1.28 % unary 8
% 2.01/1.28 % binary 9
% 2.01/1.28 % lits 82
% 2.01/1.28 % lits eq 0
% 2.01/1.28 % fd_pure 0
% 2.01/1.28 % fd_pseudo 0
% 2.01/1.28 % fd_cond 0
% 2.01/1.28 % fd_pseudo_cond 0
% 2.01/1.28 % AC symbols 0
% 2.01/1.28
% 2.01/1.28 % ------ Schedule dynamic 5 is on
% 2.01/1.28
% 2.01/1.28 % ------ no equalities: superposition off
% 2.01/1.28
% 2.01/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.01/1.28
% 2.01/1.28
% 2.01/1.28 % ------
% 2.01/1.28 % Current options:
% 2.01/1.28 % ------
% 2.01/1.28
% 2.01/1.28
% 2.01/1.28 %
% 2.01/1.28
% 2.01/1.28 % ------ Proving...
% 2.01/1.28 %
% 2.01/1.28
% 2.01/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.01/1.28
% 2.01/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.01/1.28
% 2.01/1.28
%------------------------------------------------------------------------------