%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN178-1 : 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 : 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 03:39:22 PM UTC 2026
% Result : Unsatisfiable 3.23s 1.22s
% Output : CNFRefutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 17 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 98 ( 50 ~; 48 |; 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 : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
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(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(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).
fof(f225,axiom,
! [X2,X3,X0,X1] :
( ~ q2(X1,X1,X1)
| ~ k0(X1)
| ~ m0(X2,X3,X0)
| ~ r1(X1)
| q2(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_187) ).
fof(f293,axiom,
! [X2,X0,X1] :
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_255) ).
fof(f369,negated_conjecture,
~ q3(b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ q3(b,d),
inference(cnf_transformation,[],[f369]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_435,plain,
! [X0: $i,X1: $i,X2: $i] :
( q3(X1,X2)
| ~ n0(X0,X1)
| ~ q2(X0,X1,X2) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_579,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_640,plain,
! [X0: $i] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_664,plain,
! [X0: $i] : q0(X0,d),
inference(cnf_transformation,[],[f17]) ).
tcf(c_672,plain,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_680,plain,
s0(d),
inference(cnf_transformation,[],[f1]) ).
tcf(c_739,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_741,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_742,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( q2(X2,X3,X2)
| ~ r1(X3)
| ~ k0(X3)
| ~ q2(X3,X3,X3)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_750,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ s0(d)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_755,plain,
q0(b,d),
inference(instantiation,[status(thm)],[c_664]) ).
tcf(c_762,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_739]) ).
tcf(c_797,plain,
( q2(b,b,b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_640]) ).
tcf(c_994,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q1(d,X0,d)
| ~ q0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_750,c_680,c_750]) ).
tcf(c_995,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(renaming,[status(thm)],[c_994]) ).
tcf(c_1162,plain,
! [X0: $i] :
( r1(X0)
| ~ q0(X0,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_995]) ).
tcf(c_1163,plain,
( r1(b)
| ~ q0(b,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1162]) ).
tcf(c_1179,plain,
! [X0: $i] :
( q3(b,X0)
| ~ n0(d,b)
| ~ q2(d,b,X0) ),
inference(instantiation,[status(thm)],[c_435]) ).
tcf(c_1552,plain,
( q3(b,d)
| ~ n0(d,b)
| ~ q2(d,b,d) ),
inference(instantiation,[status(thm)],[c_1179]) ).
tcf(c_1843,plain,
! [X0: $i,X1: $i] :
( q2(d,b,d)
| ~ r1(b)
| ~ k0(b)
| ~ q2(b,b,b)
| ~ m0(X0,X1,d) ),
inference(instantiation,[status(thm)],[c_744]) ).
tcf(c_1970,plain,
! [X0: $i] : m0(X0,d,d),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_2199,plain,
! [X0: $i] :
( q2(d,b,d)
| ~ r1(b)
| ~ k0(b)
| ~ q2(b,b,b)
| ~ m0(X0,d,d) ),
inference(instantiation,[status(thm)],[c_1843]) ).
tcf(c_2200,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2199,c_1970,c_1552,c_1163,c_672,c_797,c_762,c_418,c_579,c_755,c_680,c_741,c_742]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN178-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 00:27:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running EPR theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 3.23/1.22 % SZS status Started for theBenchmark.p
% 3.23/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 3.23/1.22
% 3.23/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.23/1.22
% 3.23/1.22 % ------ iProver source info
% 3.23/1.22
% 3.23/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 3.23/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.23/1.22 % git: non_committed_changes: false
% 3.23/1.22
% 3.23/1.22 % ------ Parsing...% successful
% 3.23/1.22
% 3.23/1.22
% 3.23/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 3.23/1.22 %
% 3.23/1.22
% 3.23/1.22 % ------ Preprocessing... sf_s rm: 115 0s sf_e sf_s rm: 0 0s sf_e %
% 3.23/1.22
% 3.23/1.22 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 3.23/1.22 gs_s sp: 64 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.23/1.22 % ------ Proving...
% 3.23/1.22 % ------ Problem Properties
% 3.23/1.22
% 3.23/1.22 %
% 3.23/1.22 % clauses 256
% 3.23/1.22 % conjectures 1
% 3.23/1.22 % EPR 256
% 3.23/1.22 % Horn 224
% 3.23/1.22 % unary 50
% 3.23/1.22 % binary 103
% 3.23/1.22 % lits 605
% 3.23/1.22 % lits eq 0
% 3.23/1.22 % fd_pure 0
% 3.23/1.22 % fd_pseudo 0
% 3.23/1.22 % fd_cond 0
% 3.23/1.22 % fd_pseudo_cond 0
% 3.23/1.22 % AC symbols 0
% 3.23/1.22
% 3.23/1.22 % ------ Schedule EPR non Horn non eq is on
% 3.23/1.22
% 3.23/1.22 % ------ no equalities: superposition off
% 3.23/1.22
% 3.23/1.22 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.23/1.22
% 3.23/1.22
% 3.23/1.22 % ------
% 3.23/1.22 % Current options:
% 3.23/1.22 % ------
% 3.23/1.22
% 3.23/1.22
% 3.23/1.22 %
% 3.23/1.22
% 3.23/1.22 % ------ Proving...
% 3.23/1.22 %
% 3.23/1.22
% 3.23/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 3.23/1.22
% 3.23/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.23/1.22
% 3.23/1.22
%------------------------------------------------------------------------------