%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN254-1 : 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 : n012.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 03:39:33 PM UTC 2026
% Result : Unsatisfiable 0.35s 1.01s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 27
% Syntax : Number of formulae : 90 ( 33 unt; 0 def)
% Number of atoms : 194 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 210 ( 106 ~; 104 |; 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; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 109 ( 0 sgn 109 !; 0 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f8,axiom,
m0(e,d,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_8) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f23,axiom,
m0(a,e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_23) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
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(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f78,axiom,
! [X0,X1] :
( ~ k1(X0)
| ~ m0(X0,X1,e)
| n1(X0,e,e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_040) ).
fof(f88,axiom,
! [X0,X1] :
( ~ p0(b,X1)
| ~ l0(X0)
| ~ s0(b)
| n1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_050) ).
fof(f92,axiom,
! [X2,X0,X1] :
( ~ n1(X0,X1,X0)
| ~ l1(X2,X0)
| ~ l0(X2)
| n1(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_054) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f123,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f126,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_088) ).
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(f215,axiom,
! [X0,X1] :
( ~ p1(X0,X0,X0)
| ~ k0(X1)
| q2(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_177) ).
fof(f220,axiom,
! [X2,X0,X1] :
( ~ q2(X1,X2,X0)
| ~ n1(X1,X0,X2)
| ~ p1(X0,X0,X2)
| q2(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_182) ).
fof(f227,axiom,
! [X0] :
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f311,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X2,X3,X1)
| ~ s2(X0)
| ~ q2(X2,X0,X2)
| s3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_273) ).
fof(f317,axiom,
! [X2,X0,X1] :
( ~ s3(a,X0)
| ~ l2(X2,X1)
| m4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_279) ).
fof(f369,negated_conjecture,
~ m4(e,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_422,plain,
s0(b),
inference(cnf_transformation,[],[f5]) ).
tcf(c_425,plain,
m0(e,d,e),
inference(cnf_transformation,[],[f8]) ).
tcf(c_431,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_434,plain,
! [X0: $i] : q0(X0,d),
inference(cnf_transformation,[],[f17]) ).
tcf(c_436,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_437,plain,
l0(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_440,plain,
m0(a,e,e),
inference(cnf_transformation,[],[f23]) ).
tcf(c_445,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_449,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_454,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i] :
( l1(X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_495,plain,
! [X0: $i,X1: $i] :
( n1(X0,e,e)
| ~ k1(X0)
| ~ m0(X0,X1,e) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_504,plain,
! [X0: $i,X1: $i] :
( n1(X1,X0,X1)
| ~ s0(b)
| ~ l0(X1)
| ~ p0(b,X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_508,plain,
! [X0: $i,X1: $i,X2: $i] :
( n1(X0,X1,X1)
| ~ l0(X2)
| ~ l1(X2,X0)
| ~ n1(X0,X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_522,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_538,plain,
! [X0: $i,X1: $i] :
( p1(X1,X1,X1)
| ~ p0(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_541,plain,
( p1(a,a,a)
| ~ l0(a) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_578,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i,X2: $i] :
( s1(X0)
| ~ s1(X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_585,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_629,plain,
! [X0: $i,X1: $i] :
( q2(X0,X1,X1)
| ~ k0(X1)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_634,plain,
! [X0: $i,X1: $i,X2: $i] :
( q2(X1,X0,X1)
| ~ q2(X0,X2,X1)
| ~ p1(X1,X1,X2)
| ~ n1(X0,X1,X2) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_641,plain,
! [X0: $i] :
( s2(X0)
| ~ s1(b)
| ~ q2(b,X0,b) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s3(X3,X2)
| ~ s2(X3)
| ~ q2(X0,X3,X0)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_728,plain,
! [X0: $i,X1: $i,X2: $i] :
( m4(X2,X1)
| ~ s3(a,X2)
| ~ l2(X0,X1) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_768,negated_conjecture,
~ m4(e,b),
inference(cnf_transformation,[],[f369]) ).
tcf(c_770,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_775,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_578]) ).
tcf(c_790,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_522]) ).
tcf(c_945,plain,
k1(a),
inference(superposition,[status(thm)],[c_454,c_456]) ).
tcf(c_948,plain,
s1(b),
inference(superposition,[status(thm)],[c_431,c_578]) ).
tcf(c_963,plain,
l1(a,a),
inference(superposition,[status(thm)],[c_454,c_457]) ).
tcf(c_1110,plain,
! [X0: $i] : p1(X0,X0,X0),
inference(superposition,[status(thm)],[c_431,c_538]) ).
tcf(c_1193,plain,
! [X0: $i,X1: $i] :
( s1(X1)
| ~ s1(X0) ),
inference(superposition,[status(thm)],[c_434,c_579]) ).
tcf(c_1220,plain,
! [X0: $i] : s1(X0),
inference(superposition,[status(thm)],[c_948,c_1193]) ).
tcf(c_1603,plain,
( n1(a,e,e)
| ~ k1(a) ),
inference(superposition,[status(thm)],[c_440,c_495]) ).
tcf(c_1606,plain,
n1(a,e,e),
inference(forward_subsumption_resolution,[status(thm)],[c_1603,c_945]) ).
tcf(c_1845,plain,
! [X0: $i,X1: $i] :
( q2(X0,X1,X1)
| ~ k0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_629,c_629,c_1110]) ).
tcf(c_1846,plain,
! [X0: $i,X1: $i] :
( q2(X1,X0,X0)
| ~ k0(X0) ),
inference(renaming,[status(thm)],[c_1845]) ).
tcf(c_2635,plain,
! [X0: $i,X1: $i] :
( n1(X1,X0,X1)
| ~ l0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_504,c_422,c_431,c_504]) ).
tcf(c_2636,plain,
! [X0: $i,X1: $i] :
( n1(X0,X1,X0)
| ~ l0(X0) ),
inference(renaming,[status(thm)],[c_2635]) ).
tcf(c_3349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l2(X2,X2)
| ~ m0(X0,X1,X2)
| ~ p0(X3,X3) ),
inference(global_subsumption_just,[status(thm)],[c_585,c_585,c_1193,c_1220]) ).
tcf(c_3350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l2(X2,X2)
| ~ p0(X3,X3)
| ~ m0(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_3349]) ).
tcf(c_3357,plain,
! [X0: $i,X1: $i] :
( l2(X1,X1)
| ~ p0(X0,X0) ),
inference(superposition,[status(thm)],[c_436,c_3350]) ).
tcf(c_3365,plain,
( l2(b,b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_3357]) ).
tcf(c_3570,plain,
! [X0: $i,X1: $i,X2: $i] :
( n1(X1,X2,X2)
| ~ l0(X1)
| ~ l0(X0)
| ~ l1(X0,X1) ),
inference(superposition,[status(thm)],[c_2636,c_508]) ).
tcf(c_4259,plain,
! [X0: $i] :
( s3(X0,e)
| ~ s2(X0)
| ~ m0(e,d,e)
| ~ q2(e,X0,e) ),
inference(instantiation,[status(thm)],[c_723]) ).
tcf(c_4719,plain,
( q2(e,a,e)
| ~ q2(a,e,e)
| ~ p1(e,e,e) ),
inference(superposition,[status(thm)],[c_1606,c_634]) ).
tcf(c_4723,plain,
( q2(e,a,e)
| ~ q2(a,e,e) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4719,c_1110]) ).
tcf(c_5042,plain,
( s3(a,e)
| ~ s2(a)
| ~ q2(e,a,e)
| ~ m0(e,d,e) ),
inference(instantiation,[status(thm)],[c_4259]) ).
tcf(c_5043,plain,
! [X0: $i,X1: $i] :
( m4(e,X1)
| ~ s3(a,e)
| ~ l2(X0,X1) ),
inference(instantiation,[status(thm)],[c_728]) ).
tcf(c_5044,plain,
( m4(e,b)
| ~ s3(a,e)
| ~ l2(b,b) ),
inference(instantiation,[status(thm)],[c_5043]) ).
tcf(c_5125,plain,
( q2(e,a,e)
| ~ k0(e) ),
inference(superposition,[status(thm)],[c_1846,c_4723]) ).
tcf(c_5126,plain,
q2(e,a,e),
inference(forward_subsumption_resolution,[status(thm)],[c_5125,c_445]) ).
tcf(c_6555,plain,
( s2(a)
| ~ s1(b)
| ~ q2(b,a,b) ),
inference(instantiation,[status(thm)],[c_641]) ).
tcf(c_7957,plain,
! [X0: $i] :
( q2(b,a,b)
| ~ q2(a,X0,b)
| ~ p1(b,b,X0)
| ~ n1(a,b,X0) ),
inference(instantiation,[status(thm)],[c_634]) ).
tcf(c_7958,plain,
( q2(b,a,b)
| ~ q2(a,b,b)
| ~ p1(b,b,b)
| ~ n1(a,b,b) ),
inference(instantiation,[status(thm)],[c_7957]) ).
tcf(c_9162,plain,
( q2(a,b,b)
| ~ k0(b)
| ~ p1(a,a,a) ),
inference(instantiation,[status(thm)],[c_629]) ).
tcf(c_9618,plain,
! [X0: $i] :
( n1(a,X0,X0)
| ~ l0(a) ),
inference(superposition,[status(thm)],[c_963,c_3570]) ).
tcf(c_9621,plain,
! [X0: $i] : n1(a,X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_9618,c_437]) ).
tcf(c_9624,plain,
n1(a,b,b),
inference(instantiation,[status(thm)],[c_9621]) ).
tcf(c_9625,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9624,c_9162,c_7958,c_6555,c_5126,c_5044,c_5042,c_3365,c_790,c_541,c_775,c_425,c_768,c_770,c_437,c_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN254-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Fri Sep 25 00:37:50 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.33 Running EPR theorem proving
% 0.04/0.33 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
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 0.35/1.01 % SZS status Started for theBenchmark.p
% 0.35/1.01 % SZS status Unsatisfiable for theBenchmark.p
% 0.35/1.01
% 0.35/1.01 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.35/1.01
% 0.35/1.01 % ------ iProver source info
% 0.35/1.01
% 0.35/1.01 % git: date: 2026-07-19 20:42:38 +0200
% 0.35/1.01 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.35/1.01 % git: non_committed_changes: false
% 0.35/1.01
% 0.35/1.01 % ------ Parsing...% successful
% 0.35/1.01
% 0.35/1.01
% 0.35/1.01 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.35/1.01 % ------ Proving...
% 0.35/1.01 % ------ Problem Properties
% 0.35/1.01
% 0.35/1.01 %
% 0.35/1.01 % clauses 351
% 0.35/1.01 % conjectures 1
% 0.35/1.01 % EPR 351
% 0.35/1.01 % Horn 351
% 0.35/1.01 % unary 39
% 0.35/1.01 % binary 87
% 0.35/1.01 % lits 1007
% 0.35/1.01 % lits eq 0
% 0.35/1.01 % fd_pure 0
% 0.35/1.01 % fd_pseudo 0
% 0.35/1.01 % fd_cond 0
% 0.35/1.01 % fd_pseudo_cond 0
% 0.35/1.01 % AC symbols 0
% 0.35/1.01
% 0.35/1.01 % ------ Input Options Time Limit: Unbounded
% 0.35/1.01
% 0.35/1.01
% 0.35/1.01 % ------
% 0.35/1.01 % Current options:
% 0.35/1.01 % ------
% 0.35/1.01
% 0.35/1.01
% 0.35/1.01 %
% 0.35/1.01
% 0.35/1.01 % ------ Proving...
% 0.35/1.01 %
% 0.35/1.01
% 0.35/1.01 % SZS status Unsatisfiable for theBenchmark.p
% 0.35/1.01
% 0.35/1.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.35/1.01
% 0.35/1.01
%------------------------------------------------------------------------------