%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN193-1 : 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 03:39:24 PM UTC 2026
% Result : Unsatisfiable 2.90s 1.21s
% Output : CNFRefutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of formulae : 36 ( 14 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 37 ~; 35 |; 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 : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f70,axiom,
! [X0] :
( ~ s0(X0)
| m1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_032) ).
fof(f104,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_066) ).
fof(f188,axiom,
! [X0,X1] :
( ~ m1(X1,X1,X0)
| p2(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_150) ).
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(f278,axiom,
! [X2,X0,X1] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).
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(f336,axiom,
! [X2,X3,X0,X1] :
( ~ p0(X3,X0)
| ~ q3(X1,X2)
| ~ n3(X0)
| r4(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_298) ).
fof(f369,negated_conjecture,
~ r4(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ r4(b),
inference(cnf_transformation,[],[f369]) ).
tcf(c_420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4(X1)
| ~ n3(X1)
| ~ q3(X2,X3)
| ~ p0(X0,X1) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_476,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_483,plain,
! [X0: $i,X1: $i,X2: $i] :
( n3(X2)
| ~ p2(X0,X1,X2) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_490,plain,
! [X0: $i,X1: $i,X2: $i] :
( q3(X1,X2)
| ~ n0(X0,X1)
| ~ q2(X0,X1,X2) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i] :
( p2(X1,X1,X1)
| ~ m1(X0,X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_633,plain,
! [X0: $i] :
( m1(X0,X0,X0)
| ~ s0(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_636,plain,
s0(b),
inference(cnf_transformation,[],[f5]) ).
tcf(c_667,plain,
! [X0: $i,X1: $i] :
( p1(X1,X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_673,plain,
n0(c,d),
inference(cnf_transformation,[],[f34]) ).
tcf(c_678,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_708,plain,
! [X0: $i,X1: $i] :
( q2(X0,X1,X1)
| ~ k0(X1)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_735,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_765,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_476]) ).
tcf(c_778,plain,
( m1(b,b,b)
| ~ s0(b) ),
inference(instantiation,[status(thm)],[c_633]) ).
tcf(c_786,plain,
( n3(b)
| ~ p2(b,b,b) ),
inference(instantiation,[status(thm)],[c_483]) ).
tcf(c_818,plain,
( p2(b,b,b)
| ~ m1(b,b,b) ),
inference(instantiation,[status(thm)],[c_509]) ).
tcf(c_882,plain,
( r4(b)
| ~ n3(b)
| ~ q3(b,b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_420]) ).
tcf(c_1316,plain,
( p1(d,d,d)
| ~ n0(c,d) ),
inference(instantiation,[status(thm)],[c_667]) ).
tcf(c_1421,plain,
! [X0: $i] :
( q3(b,X0)
| ~ n0(d,b)
| ~ q2(d,b,X0) ),
inference(instantiation,[status(thm)],[c_490]) ).
tcf(c_1422,plain,
( q3(b,b)
| ~ n0(d,b)
| ~ q2(d,b,b) ),
inference(instantiation,[status(thm)],[c_1421]) ).
tcf(c_1526,plain,
( q2(d,b,b)
| ~ k0(b)
| ~ p1(d,d,d) ),
inference(instantiation,[status(thm)],[c_708]) ).
tcf(c_1527,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1526,c_1422,c_1316,c_882,c_818,c_786,c_778,c_765,c_673,c_678,c_418,c_636,c_735]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN193-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 00:29:49 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running EPR theorem proving
% 0.13/0.39 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 2.90/1.21 % SZS status Started for theBenchmark.p
% 2.90/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 2.90/1.21
% 2.90/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.90/1.21
% 2.90/1.21 % ------ iProver source info
% 2.90/1.21
% 2.90/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 2.90/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.90/1.21 % git: non_committed_changes: false
% 2.90/1.21
% 2.90/1.21 % ------ Parsing...% successful
% 2.90/1.21
% 2.90/1.21
% 2.90/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.90/1.21 %
% 2.90/1.21
% 2.90/1.21 % ------ Preprocessing... sf_s rm: 123 0s sf_e sf_s rm: 0 0s sf_e %
% 2.90/1.21
% 2.90/1.21 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.90/1.21 gs_s sp: 66 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.90/1.21 % ------ Proving...
% 2.90/1.21 % ------ Problem Properties
% 2.90/1.21
% 2.90/1.21 %
% 2.90/1.21 % clauses 260
% 2.90/1.21 % conjectures 1
% 2.90/1.21 % EPR 260
% 2.90/1.21 % Horn 227
% 2.90/1.21 % unary 50
% 2.90/1.21 % binary 106
% 2.90/1.21 % lits 615
% 2.90/1.21 % lits eq 0
% 2.90/1.21 % fd_pure 0
% 2.90/1.21 % fd_pseudo 0
% 2.90/1.21 % fd_cond 0
% 2.90/1.21 % fd_pseudo_cond 0
% 2.90/1.21 % AC symbols 0
% 2.90/1.21
% 2.90/1.21 % ------ Schedule EPR non Horn non eq is on
% 2.90/1.21
% 2.90/1.21 % ------ no equalities: superposition off
% 2.90/1.21
% 2.90/1.21 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.90/1.21
% 2.90/1.21
% 2.90/1.21 % ------
% 2.90/1.21 % Current options:
% 2.90/1.21 % ------
% 2.90/1.21
% 2.90/1.21
% 2.90/1.21 %
% 2.90/1.21
% 2.90/1.21 % ------ Proving...
% 2.90/1.21 %
% 2.90/1.21
% 2.90/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 2.90/1.21
% 2.90/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.90/1.21
% 2.90/1.21
%------------------------------------------------------------------------------