%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN139-1 : 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 03:39:16 PM UTC 2026
% Result : Unsatisfiable 1.56s 1.13s
% Output : CNFRefutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 22
% Syntax : Number of formulae : 75 ( 20 unt; 0 def)
% Number of atoms : 181 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 216 ( 110 ~; 106 |; 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; 5 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 79 ( 0 sgn 79 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
m0(e,d,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_4) ).
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(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f29,axiom,
q0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_29) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f38,axiom,
m0(b,a,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_38) ).
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(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f126,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_088) ).
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(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(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(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(f369,negated_conjecture,
~ m4(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_421,plain,
m0(e,d,a),
inference(cnf_transformation,[],[f4]) ).
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_437,plain,
l0(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_446,plain,
q0(d,b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_449,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_454,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_455,plain,
m0(b,a,a),
inference(cnf_transformation,[],[f38]) ).
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_522,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
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(a,a),
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_962,plain,
! [X0: $i] :
( s2(X0)
| ~ q2(b,X0,b) ),
inference(global_subsumption_just,[status(thm)],[c_641,c_770,c_775,c_641]) ).
tcf(c_1032,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_1033,plain,
! [X0: $i,X1: $i] :
( n1(X0,X1,X0)
| ~ l0(X0) ),
inference(renaming,[status(thm)],[c_1032]) ).
tcf(c_1071,plain,
! [X0: $i] :
( ~ iPr_def_18
| ~ p0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_585]) ).
tcf(c_1072,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_19
| ~ s1(X1)
| l2(X2,X2)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_585]) ).
tcf(c_1073,plain,
( iPr_def_19
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_585]) ).
tcf(c_1074,plain,
! [X0: $i] :
( ~ iPr_def_20
| ~ s1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_579]) ).
tcf(c_1075,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_21
| s1(X0)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_579]) ).
tcf(c_1076,plain,
( iPr_def_21
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_579]) ).
tcf(c_1123,plain,
( ~ iPr_def_20
| ~ s1(b) ),
inference(instantiation,[status(thm)],[c_1074]) ).
tcf(c_1127,plain,
( ~ iPr_def_18
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_1071]) ).
tcf(c_1165,plain,
! [X0: $i] :
( s1(d)
| ~ iPr_def_21
| ~ q0(d,X0) ),
inference(instantiation,[status(thm)],[c_1075]) ).
tcf(c_1166,plain,
( s1(d)
| ~ iPr_def_21
| ~ q0(d,b) ),
inference(instantiation,[status(thm)],[c_1165]) ).
tcf(c_1174,plain,
( l1(a,a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_457]) ).
tcf(c_1237,plain,
( l2(a,a)
| ~ iPr_def_19
| ~ s1(d)
| ~ m0(e,d,a) ),
inference(instantiation,[status(thm)],[c_1072]) ).
tcf(c_1300,plain,
! [X0: $i] :
( s3(X0,a)
| ~ s2(X0)
| ~ m0(b,a,a)
| ~ q2(b,X0,b) ),
inference(instantiation,[status(thm)],[c_723]) ).
tcf(c_1321,plain,
! [X0: $i,X1: $i] :
( m4(a,X1)
| ~ s3(a,a)
| ~ l2(X0,X1) ),
inference(instantiation,[status(thm)],[c_728]) ).
tcf(c_1322,plain,
( s3(a,a)
| ~ s2(a)
| ~ q2(b,a,b)
| ~ m0(b,a,a) ),
inference(instantiation,[status(thm)],[c_1300]) ).
tcf(c_1434,plain,
( s2(a)
| ~ q2(b,a,b) ),
inference(instantiation,[status(thm)],[c_962]) ).
tcf(c_1502,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_1503,plain,
( q2(b,a,b)
| ~ q2(a,b,b)
| ~ p1(b,b,b)
| ~ n1(a,b,b) ),
inference(instantiation,[status(thm)],[c_1502]) ).
tcf(c_1559,plain,
( q2(a,b,b)
| ~ k0(b)
| ~ p1(a,a,a) ),
inference(instantiation,[status(thm)],[c_629]) ).
tcf(c_1575,plain,
! [X0: $i] :
( n1(a,b,b)
| ~ l0(X0)
| ~ l1(X0,a)
| ~ n1(a,b,a) ),
inference(instantiation,[status(thm)],[c_508]) ).
tcf(c_1609,plain,
( n1(a,b,b)
| ~ l0(a)
| ~ l1(a,a)
| ~ n1(a,b,a) ),
inference(instantiation,[status(thm)],[c_1575]) ).
tcf(c_1616,plain,
( n1(a,b,a)
| ~ l0(a) ),
inference(instantiation,[status(thm)],[c_1033]) ).
tcf(c_1630,plain,
! [X0: $i] :
( m4(a,a)
| ~ s3(a,a)
| ~ l2(X0,a) ),
inference(instantiation,[status(thm)],[c_1321]) ).
tcf(c_1634,plain,
( m4(a,a)
| ~ s3(a,a)
| ~ l2(a,a) ),
inference(instantiation,[status(thm)],[c_1630]) ).
tcf(c_1636,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1634,c_1616,c_1609,c_1559,c_1503,c_1434,c_1322,c_1237,c_1174,c_1166,c_1127,c_1123,c_1076,c_1073,c_790,c_541,c_775,c_421,c_455,c_768,c_770,c_446,c_454,c_437,c_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN139-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n026.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 00:20:24 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running EPR theorem proving
% 0.10/0.40 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.56/1.13 % SZS status Started for theBenchmark.p
% 1.56/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 1.56/1.13
% 1.56/1.13 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.56/1.13
% 1.56/1.13 % ------ iProver source info
% 1.56/1.13
% 1.56/1.13 % git: date: 2026-07-19 20:42:38 +0200
% 1.56/1.13 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.56/1.13 % git: non_committed_changes: false
% 1.56/1.13
% 1.56/1.13 % ------ Parsing...% successful
% 1.56/1.13
% 1.56/1.13
% 1.56/1.13 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.56/1.13 %
% 1.56/1.13
% 1.56/1.13 % ------ Preprocessing... sf_s rm: 176 0s sf_e sf_s rm: 0 0s sf_e %
% 1.56/1.13
% 1.56/1.13 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.56/1.13 gs_s sp: 46 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.56/1.13 % ------ Proving...
% 1.56/1.13 % ------ Problem Properties
% 1.56/1.13
% 1.56/1.13 %
% 1.56/1.13 % clauses 194
% 1.56/1.13 % conjectures 1
% 1.56/1.13 % EPR 194
% 1.56/1.13 % Horn 171
% 1.56/1.13 % unary 50
% 1.56/1.13 % binary 70
% 1.56/1.13 % lits 439
% 1.56/1.13 % lits eq 0
% 1.56/1.13 % fd_pure 0
% 1.56/1.13 % fd_pseudo 0
% 1.56/1.13 % fd_cond 0
% 1.56/1.13 % fd_pseudo_cond 0
% 1.56/1.13 % AC symbols 0
% 1.56/1.13
% 1.56/1.13 % ------ Schedule EPR non Horn non eq is on
% 1.56/1.13
% 1.56/1.13 % ------ no equalities: superposition off
% 1.56/1.13
% 1.56/1.13 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.56/1.13
% 1.56/1.13
% 1.56/1.13 % ------
% 1.56/1.13 % Current options:
% 1.56/1.13 % ------
% 1.56/1.13
% 1.56/1.13
% 1.56/1.13 %
% 1.56/1.13
% 1.56/1.13 % ------ Proving...
% 1.56/1.13 %
% 1.56/1.13
% 1.56/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 1.56/1.13
% 1.56/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.56/1.13
% 1.56/1.13
%------------------------------------------------------------------------------