%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN195-1 : 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 03:39:24 PM UTC 2026
% Result : Unsatisfiable 1.07s 1.13s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 14 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 139 ( 71 ~; 68 |; 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 : 18 ( 17 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 74 ( 0 sgn 74 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f10,axiom,
p0(b,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_10) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X1,X0,X2)
| ~ r0(X3)
| ~ p0(X2,X0)
| l1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_003) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f130,axiom,
! [X2,X3,X0,X1] :
( ~ p0(X3,X0)
| ~ n0(X2,X1)
| q1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_092) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ m1(X0,X1,X1)
| ~ r0(X2)
| q1(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_113) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f179,axiom,
! [X0] :
( ~ q1(X0,a,X0)
| p2(X0,a,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_141) ).
fof(f278,axiom,
! [X2,X0,X1] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).
fof(f282,axiom,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( ~ l1(X0,X2)
| ~ p3(X1,X2,X3)
| s4(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_299) ).
fof(f365,axiom,
! [X0,X1] :
( ~ n3(X1)
| ~ k0(b)
| ~ s4(X0)
| r5(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_327) ).
fof(f369,negated_conjecture,
~ r5(d,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ r5(d,d),
inference(cnf_transformation,[],[f369]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_428,plain,
! [X0: $i,X1: $i] :
( r5(X1,X0)
| ~ k0(b)
| ~ s4(X1)
| ~ n3(X0) ),
inference(cnf_transformation,[],[f365]) ).
tcf(c_458,plain,
! [X0: $i] :
( p2(X0,a,X0)
| ~ q1(X0,a,X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_488,plain,
! [X0: $i,X1: $i,X2: $i] :
( q1(X0,X0,X1)
| ~ r0(X2)
| ~ m1(X0,X1,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_521,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_531,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_537,plain,
! [X0: $i,X1: $i,X2: $i] :
( n3(X2)
| ~ p2(X0,X1,X2) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s4(X3)
| ~ l1(X3,X1)
| ~ p3(X0,X1,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_547,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_549,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( q1(X3,X1,X3)
| ~ p0(X2,X3)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_575,plain,
p0(b,d),
inference(cnf_transformation,[],[f10]) ).
tcf(c_652,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_705,plain,
! [X0: $i] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_727,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_760,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_767,plain,
( n2(b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_727]) ).
tcf(c_769,plain,
( p3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_705]) ).
tcf(c_779,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_521]) ).
tcf(c_986,plain,
! [X0: $i,X1: $i] :
( r5(X1,X0)
| ~ n3(X0)
| ~ s4(X1) ),
inference(global_subsumption_just,[status(thm)],[c_428,c_531,c_428]) ).
tcf(c_987,plain,
! [X0: $i,X1: $i] :
( r5(X1,X0)
| ~ s4(X1)
| ~ n3(X0) ),
inference(renaming,[status(thm)],[c_986]) ).
tcf(c_1125,plain,
! [X0: $i] :
( ~ iPr_def_65
| ~ r0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_65])],[c_488]) ).
tcf(c_1166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_90
| ~ p0(X2,X1)
| l1(X1,X0)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_90])],[c_547]) ).
tcf(c_1167,plain,
( iPr_def_90
| iPr_def_65 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_547]) ).
tcf(c_1175,plain,
( ~ iPr_def_65
| ~ r0(b) ),
inference(instantiation,[status(thm)],[c_1125]) ).
tcf(c_1507,plain,
! [X0: $i,X1: $i] :
( q1(X1,a,X1)
| ~ n0(b,a)
| ~ p0(X0,X1) ),
inference(instantiation,[status(thm)],[c_566]) ).
tcf(c_1533,plain,
! [X0: $i,X1: $i] :
( l1(d,X0)
| ~ iPr_def_90
| ~ p0(X1,d)
| ~ m0(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_1166]) ).
tcf(c_1534,plain,
( l1(d,b)
| ~ iPr_def_90
| ~ p0(b,d)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1533]) ).
tcf(c_2013,plain,
! [X0: $i] :
( q1(d,a,d)
| ~ n0(b,a)
| ~ p0(X0,d) ),
inference(instantiation,[status(thm)],[c_1507]) ).
tcf(c_2015,plain,
( q1(d,a,d)
| ~ p0(b,d)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_2013]) ).
tcf(c_2041,plain,
( r5(d,d)
| ~ s4(d)
| ~ n3(d) ),
inference(instantiation,[status(thm)],[c_987]) ).
tcf(c_2192,plain,
! [X0: $i,X1: $i] :
( n3(d)
| ~ p2(X0,X1,d) ),
inference(instantiation,[status(thm)],[c_537]) ).
tcf(c_2707,plain,
( n3(d)
| ~ p2(d,a,d) ),
inference(instantiation,[status(thm)],[c_2192]) ).
tcf(c_2708,plain,
( p2(d,a,d)
| ~ q1(d,a,d) ),
inference(instantiation,[status(thm)],[c_458]) ).
tcf(c_3366,plain,
! [X0: $i,X1: $i,X2: $i] :
( s4(d)
| ~ l1(d,X1)
| ~ p3(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_538]) ).
tcf(c_3367,plain,
( s4(d)
| ~ l1(d,b)
| ~ p3(b,b,b) ),
inference(instantiation,[status(thm)],[c_3366]) ).
tcf(c_3368,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3367,c_2708,c_2707,c_2041,c_2015,c_1534,c_1175,c_1167,c_779,c_769,c_767,c_760,c_418,c_575,c_652,c_531,c_549]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN195-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 00:28:13 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running EPR theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 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...
% 1.07/1.13 % SZS status Started for theBenchmark.p
% 1.07/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 1.07/1.13
% 1.07/1.13 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.07/1.13
% 1.07/1.13 % ------ iProver source info
% 1.07/1.13
% 1.07/1.13 % git: date: 2026-07-19 20:42:38 +0200
% 1.07/1.13 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.07/1.13 % git: non_committed_changes: false
% 1.07/1.13
% 1.07/1.13 % ------ Parsing...% successful
% 1.07/1.13
% 1.07/1.13
% 1.07/1.13 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.07/1.13 %
% 1.07/1.13
% 1.07/1.13 % ------ Preprocessing... sf_s rm: 40 0s sf_e sf_s rm: 0 0s sf_e %
% 1.07/1.13
% 1.07/1.13 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.07/1.13 gs_s sp: 94 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.07/1.13 % ------ Proving...
% 1.07/1.13 % ------ Problem Properties
% 1.07/1.13
% 1.07/1.13 %
% 1.07/1.13 % clauses 360
% 1.07/1.13 % conjectures 1
% 1.07/1.13 % EPR 360
% 1.07/1.13 % Horn 314
% 1.07/1.13 % unary 51
% 1.07/1.13 % binary 143
% 1.07/1.13 % lits 896
% 2.52/1.13 % lits eq 0
% 2.52/1.13 % fd_pure 0
% 2.52/1.13 % fd_pseudo 0
% 2.52/1.13 % fd_cond 0
% 2.52/1.13 % fd_pseudo_cond 0
% 2.52/1.13 % AC symbols 0
% 2.52/1.13
% 2.52/1.13 % ------ Schedule EPR non Horn non eq is on
% 2.52/1.13
% 2.52/1.13 % ------ no equalities: superposition off
% 2.52/1.13
% 2.52/1.13 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.52/1.13
% 2.52/1.13
% 2.52/1.13 % ------
% 2.52/1.13 % Current options:
% 2.52/1.13 % ------
% 2.52/1.13
% 2.52/1.13
% 2.52/1.13 %
% 2.52/1.13
% 2.52/1.13 % ------ Proving...
% 2.52/1.13 %
% 2.52/1.13
% 2.52/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 2.52/1.13
% 2.52/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.52/1.13
% 2.52/1.13
%------------------------------------------------------------------------------