%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN267-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 03:39:34 PM UTC 2026
% Result : Unsatisfiable 2.97s 1.23s
% Output : CNFRefutation 2.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 20
% Syntax : Number of formulae : 74 ( 18 unt; 0 def)
% Number of atoms : 163 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 184 ( 95 ~; 89 |; 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 : 25 ( 24 usr; 7 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 86 ( 0 sgn 86 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f29,axiom,
q0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_29) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f221,axiom,
! [X0,X1] :
( ~ l2(X1,X0)
| ~ l0(c)
| ~ k1(X1)
| q2(X0,c,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_183) ).
fof(f227,axiom,
! [X0] :
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f248,axiom,
! [X0] :
( ~ n2(X0)
| k3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_210) ).
fof(f296,axiom,
! [X2,X0,X1] :
( ~ l2(X2,X2)
| ~ s1(X1)
| ~ r2(X0)
| q3(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_258) ).
fof(f302,axiom,
! [X0] :
( ~ s2(X0)
| r3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_264) ).
fof(f325,axiom,
! [X0,X1] :
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_287) ).
fof(f326,axiom,
! [X2,X3,X0,X1] :
( ~ p4(X2,X2,X3)
| ~ r3(X1,X1,X0)
| p4(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_288) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ p4(X0,X1,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i,X1: $i] : ~ p4(X0,X1,c),
inference(cnf_transformation,[],[f369]) ).
tcf(c_435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(X3,X2,X2)
| ~ r3(X2,X2,X3)
| ~ p4(X0,X0,X1) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_436,plain,
! [X0: $i,X1: $i] :
( p4(X0,X1,X0)
| ~ k3(X0,X0,X1) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_494,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_526,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_533,plain,
! [X0: $i] :
( s2(X0)
| ~ s1(b)
| ~ q2(b,X0,b) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l2(X2,X2)
| ~ s1(X1)
| ~ p0(X3,X3)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_539,plain,
! [X0: $i,X1: $i,X2: $i] :
( s1(X0)
| ~ s1(X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_540,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_576,plain,
! [X0: $i] :
( r3(X0,X0,X0)
| ~ s2(X0) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_614,plain,
q0(d,b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_621,plain,
! [X0: $i,X1: $i] :
( q2(X1,c,X0)
| ~ l0(c)
| ~ k1(X0)
| ~ l2(X0,X1) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_629,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_644,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_659,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_671,plain,
! [X0: $i] :
( k3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_676,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_738,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_740,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_744,plain,
! [X0: $i,X1: $i,X2: $i] :
( q3(X2,X2)
| ~ r2(X2)
| ~ s1(X1)
| ~ l2(X0,X0) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_755,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_526]) ).
tcf(c_757,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[c_494]) ).
tcf(c_761,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_540]) ).
tcf(c_764,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_738]) ).
tcf(c_766,plain,
( n2(b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_676]) ).
tcf(c_767,plain,
( k3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_671]) ).
tcf(c_811,plain,
( p4(b,b,b)
| ~ k3(b,b,b) ),
inference(instantiation,[status(thm)],[c_436]) ).
tcf(c_954,plain,
! [X0: $i] :
( s2(X0)
| ~ q2(b,X0,b) ),
inference(global_subsumption_just,[status(thm)],[c_533,c_755,c_761,c_533]) ).
tcf(c_1000,plain,
! [X0: $i,X1: $i] :
( q2(X1,c,X0)
| ~ l2(X0,X1)
| ~ k1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_621,c_644,c_621]) ).
tcf(c_1001,plain,
! [X0: $i,X1: $i] :
( q2(X1,c,X0)
| ~ k1(X0)
| ~ l2(X0,X1) ),
inference(renaming,[status(thm)],[c_1000]) ).
tcf(c_1002,plain,
( q2(b,c,b)
| ~ k1(b)
| ~ l2(b,b) ),
inference(instantiation,[status(thm)],[c_1001]) ).
tcf(c_1045,plain,
! [X0: $i] :
( ~ iPr_def_18
| ~ s1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_744]) ).
tcf(c_1118,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_66
| p4(X1,X0,X0)
| ~ r3(X0,X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_66])],[c_435]) ).
tcf(c_1119,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_67
| ~ p4(X0,X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_67])],[c_435]) ).
tcf(c_1120,plain,
( iPr_def_67
| iPr_def_66 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_435]) ).
tcf(c_1124,plain,
! [X0: $i] :
( ~ iPr_def_70
| ~ p0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_70])],[c_537]) ).
tcf(c_1125,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_71
| ~ s1(X1)
| l2(X2,X2)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_71])],[c_537]) ).
tcf(c_1126,plain,
( iPr_def_71
| iPr_def_70 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_537]) ).
tcf(c_1127,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_72
| s1(X0)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_72])],[c_539]) ).
tcf(c_1128,plain,
( iPr_def_72
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_539]) ).
tcf(c_1173,plain,
( ~ iPr_def_18
| ~ s1(b) ),
inference(instantiation,[status(thm)],[c_1045]) ).
tcf(c_1188,plain,
( ~ iPr_def_70
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_1124]) ).
tcf(c_1196,plain,
( ~ iPr_def_67
| ~ p4(b,b,b) ),
inference(instantiation,[status(thm)],[c_1119]) ).
tcf(c_1248,plain,
~ p4(c,c,c),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_1257,plain,
! [X0: $i] :
( p4(X0,c,c)
| ~ iPr_def_66
| ~ r3(c,c,X0) ),
inference(instantiation,[status(thm)],[c_1118]) ).
tcf(c_1277,plain,
( k1(b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_629]) ).
tcf(c_1291,plain,
! [X0: $i] :
( s1(d)
| ~ iPr_def_72
| ~ q0(d,X0) ),
inference(instantiation,[status(thm)],[c_1127]) ).
tcf(c_1292,plain,
( s1(d)
| ~ iPr_def_72
| ~ q0(d,b) ),
inference(instantiation,[status(thm)],[c_1291]) ).
tcf(c_1499,plain,
! [X0: $i,X1: $i] :
( l2(X1,X1)
| ~ iPr_def_71
| ~ s1(d)
| ~ m0(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_1125]) ).
tcf(c_1500,plain,
( l2(b,b)
| ~ iPr_def_71
| ~ s1(d)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1499]) ).
tcf(c_1706,plain,
( p4(c,c,c)
| ~ iPr_def_66
| ~ r3(c,c,c) ),
inference(instantiation,[status(thm)],[c_1257]) ).
tcf(c_1709,plain,
( r3(c,c,c)
| ~ s2(c) ),
inference(instantiation,[status(thm)],[c_576]) ).
tcf(c_1740,plain,
( s2(c)
| ~ q2(b,c,b) ),
inference(instantiation,[status(thm)],[c_954]) ).
tcf(c_1741,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1740,c_1709,c_1706,c_1500,c_1292,c_1277,c_1248,c_1196,c_1188,c_1173,c_1128,c_1126,c_1120,c_1002,c_811,c_767,c_766,c_764,c_761,c_757,c_755,c_614,c_659,c_740]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN267-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 00:41:11 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running EPR theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/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...
% 2.97/1.23 % SZS status Started for theBenchmark.p
% 2.97/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 2.97/1.23
% 2.97/1.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.97/1.23
% 2.97/1.23 % ------ iProver source info
% 2.97/1.23
% 2.97/1.23 % git: date: 2026-07-19 20:42:38 +0200
% 2.97/1.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.97/1.23 % git: non_committed_changes: false
% 2.97/1.23
% 2.97/1.23 % ------ Parsing...% successful
% 2.97/1.23
% 2.97/1.23
% 2.97/1.23 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.97/1.23 %
% 2.97/1.23
% 2.97/1.23 % ------ Preprocessing... sf_s rm: 25 0s sf_e sf_s rm: 0 0s sf_e %
% 2.97/1.23
% 2.97/1.23 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.97/1.23 gs_s sp: 102 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.97/1.23 % ------ Proving...
% 2.97/1.23 % ------ Problem Properties
% 2.97/1.23
% 2.97/1.23 %
% 2.97/1.23 % clauses 380
% 2.97/1.23 % conjectures 1
% 2.97/1.23 % EPR 380
% 2.97/1.23 % Horn 330
% 2.97/1.23 % unary 51
% 2.97/1.23 % binary 154
% 2.97/1.23 % lits 948
% 2.97/1.23 % lits eq 0
% 2.97/1.23 % fd_pure 0
% 2.97/1.23 % fd_pseudo 0
% 2.97/1.23 % fd_cond 0
% 2.97/1.23 % fd_pseudo_cond 0
% 2.97/1.23 % AC symbols 0
% 2.97/1.23
% 2.97/1.23 % ------ Schedule EPR non Horn non eq is on
% 2.97/1.23
% 2.97/1.23 % ------ no equalities: superposition off
% 2.97/1.23
% 2.97/1.23 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.97/1.23
% 2.97/1.23
% 2.97/1.23 % ------
% 2.97/1.23 % Current options:
% 2.97/1.23 % ------
% 2.97/1.23
% 2.97/1.23
% 2.97/1.23 %
% 2.97/1.23
% 2.97/1.23 % ------ Proving...
% 2.97/1.23 %
% 2.97/1.23
% 2.97/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 2.97/1.23
% 2.97/1.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.97/1.23
% 2.97/1.23
%------------------------------------------------------------------------------