%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN142-1 : 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 : n020.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 5.98s 1.70s
% Output : CNFRefutation 5.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 89 ( 32 unt; 0 def)
% Number of atoms : 186 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 198 ( 101 ~; 97 |; 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 : 21 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 136 ( 0 sgn 136 !; 0 ?; 91 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f88,axiom,
! [X0,X1] :
( ~ p0(b,X1)
| ~ l0(X0)
| ~ s0(b)
| n1(X0,X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_054) ).
fof(f123,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f215,axiom,
! [X0,X1] :
( ~ p1(X0,X0,X0)
| ~ k0(X1)
| q2(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_177) ).
fof(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).
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/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_182) ).
fof(f227,axiom,
! [X0] :
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f282,axiom,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f311,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X2,X3,X1)
| ~ s2(X0)
| ~ q2(X2,X0,X2)
| s3(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_279) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( ~ l1(X0,X2)
| ~ p3(X1,X2,X3)
| s4(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_299) ).
fof(f343,axiom,
! [X0] :
( ~ m4(e,e)
| ~ s4(X0)
| m5(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_305) ).
fof(f369,negated_conjecture,
! [X0] : ~ m5(d,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_422,plain,
s0(b),
inference(cnf_transformation,[],[f5]) ).
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_449,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_451,plain,
n0(c,d),
inference(cnf_transformation,[],[f34]) ).
tcf(c_454,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i] :
( l1(X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
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_538,plain,
! [X0: $i,X1: $i] :
( p1(X1,X1,X1)
| ~ p0(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
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_589,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_629,plain,
! [X0: $i,X1: $i] :
( q2(X0,X1,X1)
| ~ k0(X1)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_633,plain,
! [X0: $i] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f219]) ).
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_694,plain,
! [X0: $i] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f282]) ).
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_747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s4(X3)
| ~ l1(X3,X1)
| ~ p3(X0,X1,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_753,plain,
! [X0: $i] :
( m5(X0,X0)
| ~ s4(X0)
| ~ m4(e,e) ),
inference(cnf_transformation,[],[f343]) ).
tcf(c_772,negated_conjecture,
! [X0: $i] : ~ m5(d,X0),
inference(cnf_transformation,[],[f369]) ).
tcf(c_774,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_781,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_578]) ).
tcf(c_957,plain,
s1(b),
inference(superposition,[status(thm)],[c_431,c_578]) ).
tcf(c_974,plain,
l1(d,d),
inference(superposition,[status(thm)],[c_451,c_457]) ).
tcf(c_975,plain,
l1(a,a),
inference(superposition,[status(thm)],[c_454,c_457]) ).
tcf(c_1130,plain,
! [X0: $i] : p1(X0,X0,X0),
inference(superposition,[status(thm)],[c_431,c_538]) ).
tcf(c_1154,plain,
! [X0: $i] : n2(X0),
inference(superposition,[status(thm)],[c_1130,c_589]) ).
tcf(c_1156,plain,
! [X0: $i] : p3(X0,X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_694,c_1154]) ).
tcf(c_1201,plain,
! [X0: $i,X1: $i] :
( s1(X1)
| ~ s1(X0) ),
inference(superposition,[status(thm)],[c_434,c_579]) ).
tcf(c_1221,plain,
! [X0: $i] : s1(X0),
inference(superposition,[status(thm)],[c_957,c_1201]) ).
tcf(c_1302,plain,
! [X0: $i] : q2(X0,X0,X0),
inference(global_subsumption_just,[status(thm)],[c_633,c_633,c_1130]) ).
tcf(c_1558,plain,
! [X0: $i,X1: $i] :
( s4(X0)
| ~ l1(X0,X1) ),
inference(superposition,[status(thm)],[c_1156,c_747]) ).
tcf(c_1567,plain,
s4(d),
inference(superposition,[status(thm)],[c_974,c_1558]) ).
tcf(c_1857,plain,
! [X0: $i,X1: $i] :
( q2(X0,X1,X1)
| ~ k0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_629,c_629,c_1130]) ).
tcf(c_1858,plain,
! [X0: $i,X1: $i] :
( q2(X1,X0,X0)
| ~ k0(X0) ),
inference(renaming,[status(thm)],[c_1857]) ).
tcf(c_2555,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_2556,plain,
! [X0: $i,X1: $i] :
( n1(X0,X1,X0)
| ~ l0(X0) ),
inference(renaming,[status(thm)],[c_2555]) ).
tcf(c_3136,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_1201,c_1221]) ).
tcf(c_3137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l2(X2,X2)
| ~ p0(X3,X3)
| ~ m0(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_3136]) ).
tcf(c_3144,plain,
! [X0: $i,X1: $i] :
( l2(X1,X1)
| ~ p0(X0,X0) ),
inference(superposition,[status(thm)],[c_436,c_3137]) ).
tcf(c_3232,plain,
! [X0: $i] : l2(X0,X0),
inference(superposition,[status(thm)],[c_431,c_3144]) ).
tcf(c_3238,plain,
! [X0: $i,X1: $i] :
( m4(X0,X1)
| ~ s3(a,X0) ),
inference(superposition,[status(thm)],[c_3232,c_728]) ).
tcf(c_3331,plain,
! [X0: $i,X1: $i,X2: $i] :
( n1(X1,X2,X2)
| ~ l0(X1)
| ~ l0(X0)
| ~ l1(X0,X1) ),
inference(superposition,[status(thm)],[c_2556,c_508]) ).
tcf(c_3667,plain,
! [X0: $i,X1: $i,X2: $i] :
( s3(X1,X2)
| ~ s2(X1)
| ~ q2(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_436,c_723]) ).
tcf(c_5849,plain,
! [X0: $i,X1: $i] :
( s3(X0,X1)
| ~ s2(X0) ),
inference(superposition,[status(thm)],[c_1302,c_3667]) ).
tcf(c_5865,plain,
! [X0: $i,X1: $i] :
( m4(X0,X1)
| ~ s2(a) ),
inference(superposition,[status(thm)],[c_5849,c_3238]) ).
tcf(c_5888,plain,
! [X0: $i] :
( m5(X0,X0)
| ~ s2(a)
| ~ s4(X0) ),
inference(superposition,[status(thm)],[c_5865,c_753]) ).
tcf(c_5899,plain,
( ~ s4(d)
| ~ s2(a) ),
inference(superposition,[status(thm)],[c_5888,c_772]) ).
tcf(c_5900,plain,
~ s2(a),
inference(forward_subsumption_resolution,[status(thm)],[c_5899,c_1567]) ).
tcf(c_7193,plain,
( s2(a)
| ~ s1(b)
| ~ q2(b,a,b) ),
inference(instantiation,[status(thm)],[c_641]) ).
tcf(c_9098,plain,
! [X0: $i] :
( n1(a,X0,X0)
| ~ l0(a) ),
inference(superposition,[status(thm)],[c_975,c_3331]) ).
tcf(c_9101,plain,
! [X0: $i] : n1(a,X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_9098,c_437]) ).
tcf(c_9153,plain,
! [X0: $i] :
( q2(X0,a,X0)
| ~ q2(a,X0,X0)
| ~ p1(X0,X0,X0) ),
inference(superposition,[status(thm)],[c_9101,c_634]) ).
tcf(c_9155,plain,
! [X0: $i] :
( q2(X0,a,X0)
| ~ q2(a,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9153,c_1130]) ).
tcf(c_9234,plain,
! [X0: $i] :
( q2(X0,a,X0)
| ~ k0(X0) ),
inference(superposition,[status(thm)],[c_1858,c_9155]) ).
tcf(c_9236,plain,
( q2(b,a,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_9234]) ).
tcf(c_9237,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9236,c_7193,c_5900,c_781,c_774,c_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN142-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 00:19:03 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.41 Running EPR theorem proving
% 0.16/0.41 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
% 0.16/0.42
% 0.16/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.42
% 0.16/0.42 % Detected problem language: tptp
% 0.16/0.43 % Proving...
% 5.98/1.70 % SZS status Started for theBenchmark.p
% 5.98/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 5.98/1.70
% 5.98/1.70 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.98/1.70
% 5.98/1.70 % ------ iProver source info
% 5.98/1.70
% 5.98/1.70 % git: date: 2026-07-19 20:42:38 +0200
% 5.98/1.70 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.98/1.70 % git: non_committed_changes: false
% 5.98/1.70
% 5.98/1.70 % ------ Parsing...% successful
% 5.98/1.70
% 5.98/1.70
% 5.98/1.70 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 5.98/1.70 % ------ Proving...
% 5.98/1.70 % ------ Problem Properties
% 5.98/1.70
% 5.98/1.70 %
% 5.98/1.70 % clauses 355
% 5.98/1.70 % conjectures 1
% 5.98/1.70 % EPR 355
% 5.98/1.70 % Horn 355
% 5.98/1.70 % unary 39
% 5.98/1.70 % binary 88
% 5.98/1.70 % lits 1018
% 5.98/1.70 % lits eq 0
% 5.98/1.70 % fd_pure 0
% 5.98/1.70 % fd_pseudo 0
% 5.98/1.70 % fd_cond 0
% 5.98/1.70 % fd_pseudo_cond 0
% 5.98/1.70 % AC symbols 0
% 5.98/1.70
% 5.98/1.70 % ------ Input Options Time Limit: Unbounded
% 5.98/1.70
% 5.98/1.70
% 5.98/1.70 % ------
% 5.98/1.70 % Current options:
% 5.98/1.70 % ------
% 5.98/1.70
% 5.98/1.70
% 5.98/1.70 %
% 5.98/1.70
% 5.98/1.70 % ------ Proving...
% 5.98/1.70 %
% 5.98/1.70
% 5.98/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 5.98/1.70
% 5.98/1.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.98/1.70
% 5.98/1.70
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