%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN158-1 : 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 : n018.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 03:39:19 PM UTC 2026
% Result : Unsatisfiable 1.09s 1.37s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of formulae : 55 ( 12 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 137 ( 70 ~; 67 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 17 ( 16 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
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(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f155,axiom,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_117) ).
fof(f162,axiom,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ s0(d)
| ~ q0(X0,X1)
| r1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_124) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).
fof(f248,axiom,
! [X0] :
( ~ n2(X0)
| k3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_210) ).
fof(f274,axiom,
! [X0] :
( ~ n2(X0)
| m3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_236) ).
fof(f282,axiom,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f315,axiom,
! [X2,X0,X1] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_277) ).
fof(f333,axiom,
! [X2,X3,X0,X1,X4] :
( ~ m3(X3,X4,X3)
| ~ q2(X3,X1,X0)
| ~ k3(X2,X2,X0)
| q4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_295) ).
fof(f334,axiom,
! [X2,X0,X1] :
( ~ q4(X1,X2)
| ~ l4(X1)
| ~ r1(X0)
| q4(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_296) ).
fof(f351,axiom,
! [X0,X1] :
( ~ q4(X1,X0)
| n5(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_313) ).
fof(f369,negated_conjecture,
~ n5(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,plain,
s0(d),
inference(cnf_transformation,[],[f1]) ).
tcf(c_434,plain,
! [X0: $i] : q0(X0,d),
inference(cnf_transformation,[],[f17]) ).
tcf(c_445,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_449,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_522,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_570,plain,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_577,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ s0(d)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_589,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_633,plain,
! [X0: $i] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_660,plain,
! [X0: $i] :
( k3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_686,plain,
! [X0: $i] :
( m3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_694,plain,
! [X0: $i] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_726,plain,
! [X0: $i,X1: $i,X2: $i] :
( l4(X2)
| ~ p3(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( q4(X2,X1)
| ~ m3(X0,X4,X0)
| ~ k3(X3,X3,X2)
| ~ q2(X0,X1,X2) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_744,plain,
! [X0: $i,X1: $i,X2: $i] :
( q4(X2,X2)
| ~ l4(X0)
| ~ r1(X2)
| ~ q4(X0,X1) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_757,plain,
! [X0: $i,X1: $i] :
( n5(X1,X1)
| ~ q4(X0,X1) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_768,negated_conjecture,
~ n5(a,a),
inference(cnf_transformation,[],[f369]) ).
tcf(c_779,plain,
( l4(b)
| ~ p3(b,b,b) ),
inference(instantiation,[status(thm)],[c_726]) ).
tcf(c_782,plain,
( p3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_694]) ).
tcf(c_784,plain,
( m3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_686]) ).
tcf(c_786,plain,
( k3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_660]) ).
tcf(c_788,plain,
( n2(b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_589]) ).
tcf(c_790,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_522]) ).
tcf(c_819,plain,
( q2(b,b,b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_633]) ).
tcf(c_914,plain,
( q4(b,b)
| ~ m3(b,b,b)
| ~ k3(b,b,b)
| ~ q2(b,b,b) ),
inference(instantiation,[status(thm)],[c_743]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q1(d,X0,d)
| ~ q0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_577,c_418,c_577]) ).
tcf(c_1028,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(renaming,[status(thm)],[c_1027]) ).
tcf(c_1079,plain,
! [X0: $i] :
( ~ iPr_def_23
| ~ r1(X0)
| q4(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_744]) ).
tcf(c_1080,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_24
| ~ l4(X0)
| ~ q4(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_744]) ).
tcf(c_1081,plain,
( iPr_def_24
| iPr_def_23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_744]) ).
tcf(c_1251,plain,
( ~ iPr_def_24
| ~ l4(b)
| ~ q4(b,b) ),
inference(instantiation,[status(thm)],[c_1080]) ).
tcf(c_1294,plain,
! [X0: $i] :
( n5(a,a)
| ~ q4(X0,a) ),
inference(instantiation,[status(thm)],[c_757]) ).
tcf(c_1368,plain,
! [X0: $i] :
( r1(X0)
| ~ q0(X0,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1028]) ).
tcf(c_2045,plain,
( q4(a,a)
| ~ iPr_def_23
| ~ r1(a) ),
inference(instantiation,[status(thm)],[c_1079]) ).
tcf(c_2046,plain,
( n5(a,a)
| ~ q4(a,a) ),
inference(instantiation,[status(thm)],[c_1294]) ).
tcf(c_2424,plain,
( r1(a)
| ~ q0(a,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1368]) ).
tcf(c_2479,plain,
q0(a,d),
inference(instantiation,[status(thm)],[c_434]) ).
tcf(c_2480,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2479,c_2424,c_2046,c_2045,c_1251,c_1081,c_914,c_570,c_819,c_790,c_788,c_786,c_784,c_782,c_779,c_768,c_418,c_445,c_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN158-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.59 % Computer : n018.cluster.edu
% 0.12/0.59 % Model : x86_64 x86_64
% 0.12/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.59 % Memory : 8046.5625MB
% 0.12/0.59 % OS : Linux 6.8.0-71-generic
% 0.12/0.59 % CPULimit : 300
% 0.12/0.59 % WCLimit : 300
% 0.12/0.59 % DateTime : Fri Sep 25 00:23:05 UTC 2026
% 0.12/0.59 % CPUTime :
% 0.12/0.59 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.63 Running EPR theorem proving
% 0.15/0.63 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
% 0.15/0.65
% 0.15/0.65 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.65
% 0.15/0.65 % Detected problem language: tptp
% 0.15/0.66 % Proving...
% 1.09/1.37 % SZS status Started for theBenchmark.p
% 1.09/1.37 % SZS status Unsatisfiable for theBenchmark.p
% 1.09/1.37
% 1.09/1.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.09/1.37
% 1.09/1.37 % ------ iProver source info
% 1.09/1.37
% 1.09/1.37 % git: date: 2026-07-19 20:42:38 +0200
% 1.09/1.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.09/1.37 % git: non_committed_changes: false
% 1.09/1.37
% 1.09/1.37 % ------ Parsing...% successful
% 1.09/1.37
% 1.09/1.37
% 1.09/1.37 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.09/1.37 %
% 1.09/1.37
% 1.09/1.37 % ------ Preprocessing... sf_s rm: 21 0s sf_e sf_s rm: 0 0s sf_e %
% 1.09/1.37
% 1.09/1.37 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.09/1.37 gs_s sp: 112 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.09/1.37 % ------ Proving...
% 1.09/1.37 % ------ Problem Properties
% 1.09/1.37
% 1.09/1.37 %
% 1.09/1.37 % clauses 408
% 1.09/1.37 % conjectures 1
% 1.09/1.37 % EPR 408
% 1.09/1.37 % Horn 353
% 1.09/1.37 % unary 52
% 1.09/1.37 % binary 165
% 1.09/1.37 % lits 1025
% 1.09/1.37 % lits eq 0
% 1.09/1.37 % fd_pure 0
% 1.09/1.37 % fd_pseudo 0
% 1.09/1.37 % fd_cond 0
% 1.09/1.37 % fd_pseudo_cond 0
% 1.09/1.37 % AC symbols 0
% 1.09/1.37
% 1.09/1.37 % ------ Schedule EPR non Horn non eq is on
% 1.09/1.37
% 1.09/1.37 % ------ no equalities: superposition off
% 1.09/1.37
% 1.09/1.37 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.09/1.37
% 1.09/1.37
% 1.09/1.37 % ------
% 1.09/1.37 % Current options:
% 1.09/1.37 % ------
% 1.09/1.37
% 1.09/1.37
% 1.09/1.37 %
% 1.09/1.37
% 1.09/1.37 % ------ Proving...
% 1.09/1.37 %
% 1.09/1.37
% 1.09/1.37 % SZS status Unsatisfiable for theBenchmark.p
% 1.09/1.37
% 1.09/1.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.09/1.37
% 1.09/1.37
%------------------------------------------------------------------------------