%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN141-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 03:39:17 PM UTC 2026
% Result : Unsatisfiable 3.52s 1.21s
% Output : CNFRefutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of formulae : 48 ( 16 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 106 ( 55 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 16 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_18) ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_27) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X1,X0,X2)
| ~ r0(X3)
| ~ p0(X2,X0)
| l1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_003) ).
fof(f95,axiom,
! [X0] :
( ~ r0(X0)
| n1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_057) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ m1(X0,X1,X1)
| ~ r0(X2)
| q1(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_113) ).
fof(f208,axiom,
! [X0] :
( ~ n1(X0,e,e)
| p2(X0,e,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_170) ).
fof(f224,axiom,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_186) ).
fof(f278,axiom,
! [X2,X0,X1] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).
fof(f293,axiom,
! [X2,X0,X1] :
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_255) ).
fof(f312,axiom,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_274) ).
fof(f342,axiom,
! [X0] :
( ~ k4(X0)
| m5(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_304) ).
fof(f369,negated_conjecture,
! [X0] : ~ m5(c,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i] : ~ m5(c,X0),
inference(cnf_transformation,[],[f369]) ).
tcf(c_427,plain,
m0(e,b,c),
inference(cnf_transformation,[],[f27]) ).
tcf(c_429,plain,
p0(c,b),
inference(cnf_transformation,[],[f18]) ).
tcf(c_433,plain,
! [X0: $i] :
( m5(X0,X0)
| ~ k4(X0) ),
inference(cnf_transformation,[],[f342]) ).
tcf(c_436,plain,
! [X0: $i] :
( p2(X0,e,X0)
| ~ n1(X0,e,e) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_451,plain,
! [X0: $i] :
( n1(X0,X0,X0)
| ~ r0(X0) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_479,plain,
! [X0: $i,X1: $i,X2: $i] :
( q1(X0,X0,X1)
| ~ r0(X2)
| ~ m1(X0,X1,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l1(X1,X0)
| ~ r0(X3)
| ~ p0(X2,X1)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_530,plain,
r0(e),
inference(cnf_transformation,[],[f13]) ).
tcf(c_531,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_538,plain,
( k4(c)
| ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_614,plain,
n0(c,d),
inference(cnf_transformation,[],[f34]) ).
tcf(c_615,plain,
n0(e,e),
inference(cnf_transformation,[],[f30]) ).
tcf(c_621,plain,
! [X0: $i,X1: $i] :
( q2(X1,X1,X0)
| ~ l1(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i] :
( q3(X1,X2)
| ~ n0(X0,X1)
| ~ q2(X0,X1,X2) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_706,plain,
! [X0: $i,X1: $i,X2: $i] :
( n3(X2)
| ~ p2(X0,X1,X2) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_1022,plain,
( k4(c)
| ~ n3(e)
| ~ q3(e,b) ),
inference(global_subsumption_just,[status(thm)],[c_538,c_614,c_538]) ).
tcf(c_1161,plain,
! [X0: $i] :
( ~ iPr_def_75
| ~ r0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_75])],[c_479]) ).
tcf(c_1202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_100
| ~ p0(X2,X1)
| l1(X1,X0)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_100])],[c_522]) ).
tcf(c_1203,plain,
( iPr_def_100
| iPr_def_75 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_522]) ).
tcf(c_1213,plain,
( ~ iPr_def_75
| ~ r0(b) ),
inference(instantiation,[status(thm)],[c_1161]) ).
tcf(c_1303,plain,
( p2(e,e,e)
| ~ n1(e,e,e) ),
inference(instantiation,[status(thm)],[c_436]) ).
tcf(c_1304,plain,
( n1(e,e,e)
| ~ r0(e) ),
inference(instantiation,[status(thm)],[c_451]) ).
tcf(c_1575,plain,
! [X0: $i] :
( q3(e,X0)
| ~ n0(e,e)
| ~ q2(e,e,X0) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_1576,plain,
( q3(e,b)
| ~ n0(e,e)
| ~ q2(e,e,b) ),
inference(instantiation,[status(thm)],[c_1575]) ).
tcf(c_1597,plain,
( l1(b,e)
| ~ iPr_def_100
| ~ p0(c,b)
| ~ m0(e,b,c) ),
inference(instantiation,[status(thm)],[c_1202]) ).
tcf(c_1781,plain,
( q2(e,e,b)
| ~ l1(b,e) ),
inference(instantiation,[status(thm)],[c_621]) ).
tcf(c_1981,plain,
~ m5(c,c),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_2391,plain,
! [X0: $i,X1: $i] :
( n3(e)
| ~ p2(X0,X1,e) ),
inference(instantiation,[status(thm)],[c_706]) ).
tcf(c_2618,plain,
( n3(e)
| ~ p2(e,e,e) ),
inference(instantiation,[status(thm)],[c_2391]) ).
tcf(c_3348,plain,
( m5(c,c)
| ~ k4(c) ),
inference(instantiation,[status(thm)],[c_433]) ).
tcf(c_3349,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3348,c_2618,c_1981,c_1781,c_1597,c_1576,c_1304,c_1303,c_1213,c_1203,c_1022,c_427,c_429,c_615,c_530,c_531]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN141-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 00:20:09 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running EPR theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 3.52/1.21 % SZS status Started for theBenchmark.p
% 3.52/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 3.52/1.21
% 3.52/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.52/1.21
% 3.52/1.21 % ------ iProver source info
% 3.52/1.21
% 3.52/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 3.52/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.52/1.21 % git: non_committed_changes: false
% 3.52/1.21
% 3.52/1.21 % ------ Parsing...% successful
% 3.52/1.21
% 3.52/1.21
% 3.52/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 3.52/1.21 %
% 3.52/1.21
% 3.52/1.21 % ------ Preprocessing... sf_s rm: 35 0s sf_e sf_s rm: 0 0s sf_e %
% 3.52/1.21
% 3.52/1.21 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 3.52/1.21 gs_s sp: 104 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.52/1.21 % ------ Proving...
% 3.52/1.21 % ------ Problem Properties
% 3.52/1.21
% 3.52/1.21 %
% 3.52/1.21 % clauses 386
% 3.52/1.21 % conjectures 1
% 3.52/1.21 % EPR 386
% 3.52/1.21 % Horn 335
% 3.52/1.21 % unary 51
% 3.52/1.21 % binary 157
% 3.52/1.21 % lits 963
% 3.52/1.21 % lits eq 0
% 3.52/1.21 % fd_pure 0
% 3.52/1.21 % fd_pseudo 0
% 3.52/1.21 % fd_cond 0
% 3.52/1.21 % fd_pseudo_cond 0
% 3.52/1.21 % AC symbols 0
% 3.52/1.21
% 3.52/1.21 % ------ Schedule EPR non Horn non eq is on
% 3.52/1.21
% 3.52/1.21 % ------ no equalities: superposition off
% 3.52/1.21
% 3.52/1.21 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.52/1.21
% 3.52/1.21
% 3.52/1.21 % ------
% 3.52/1.21 % Current options:
% 3.52/1.21 % ------
% 3.52/1.21
% 3.52/1.21
% 3.52/1.21 %
% 3.52/1.21
% 3.52/1.21 % ------ Proving...
% 3.52/1.21 %
% 3.52/1.21
% 3.52/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 3.52/1.21
% 3.52/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.52/1.21
% 3.52/1.21
%------------------------------------------------------------------------------