%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN213-1 : 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 : n005.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 03:39:27 PM UTC 2026
% Result : Unsatisfiable 3.03s 1.21s
% Output : CNFRefutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of formulae : 51 ( 14 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 55 ~; 53 |; 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 : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?; 29 :)
% 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(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
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(f282,axiom,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).
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(f315,axiom,
! [X2,X0,X1] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_277) ).
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(f367,axiom,
! [X0,X1] :
( ~ r4(X1)
| ~ l4(X0)
| s5(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_329) ).
fof(f369,negated_conjecture,
~ s5(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ s5(b),
inference(cnf_transformation,[],[f369]) ).
tcf(c_420,plain,
! [X0: $i,X1: $i] :
( s5(X0)
| ~ r4(X1)
| ~ l4(X0) ),
inference(cnf_transformation,[],[f367]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i,X2: $i] :
( l4(X2)
| ~ p3(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_433,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_500,plain,
! [X0: $i,X1: $i] :
( q2(X0,X1,X1)
| ~ k0(X1)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_565,plain,
! [X0: $i,X1: $i,X2: $i] :
( q3(X1,X2)
| ~ n0(X0,X1)
| ~ q2(X0,X1,X2) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i] :
( p1(X1,X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_592,plain,
n0(c,d),
inference(cnf_transformation,[],[f34]) ).
tcf(c_597,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_609,plain,
! [X0: $i,X1: $i,X2: $i] :
( n3(X2)
| ~ p2(X0,X1,X2) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_642,plain,
! [X0: $i] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_660,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i] :
( p2(X1,X1,X1)
| ~ m1(X0,X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_703,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_741,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_744,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_757,plain,
! [X0: $i] :
( m1(X0,X0,X0)
| ~ s0(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_759,plain,
s0(b),
inference(cnf_transformation,[],[f5]) ).
tcf(c_770,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_660]) ).
tcf(c_778,plain,
( m1(b,b,b)
| ~ s0(b) ),
inference(instantiation,[status(thm)],[c_757]) ).
tcf(c_779,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_741]) ).
tcf(c_780,plain,
( n2(b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_703]) ).
tcf(c_783,plain,
( p3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_642]) ).
tcf(c_785,plain,
( n3(b)
| ~ p2(b,b,b) ),
inference(instantiation,[status(thm)],[c_609]) ).
tcf(c_794,plain,
( l4(b)
| ~ p3(b,b,b) ),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_810,plain,
( s5(b)
| ~ r4(b)
| ~ l4(b) ),
inference(instantiation,[status(thm)],[c_420]) ).
tcf(c_813,plain,
( p2(b,b,b)
| ~ m1(b,b,b) ),
inference(instantiation,[status(thm)],[c_665]) ).
tcf(c_891,plain,
( r4(b)
| ~ n3(b)
| ~ q3(b,b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_433]) ).
tcf(c_1403,plain,
( p1(d,d,d)
| ~ n0(c,d) ),
inference(instantiation,[status(thm)],[c_582]) ).
tcf(c_1525,plain,
! [X0: $i] :
( q3(b,X0)
| ~ n0(d,b)
| ~ q2(d,b,X0) ),
inference(instantiation,[status(thm)],[c_565]) ).
tcf(c_1526,plain,
( q3(b,b)
| ~ n0(d,b)
| ~ q2(d,b,b) ),
inference(instantiation,[status(thm)],[c_1525]) ).
tcf(c_1741,plain,
( q2(d,b,b)
| ~ k0(b)
| ~ p1(d,d,d) ),
inference(instantiation,[status(thm)],[c_500]) ).
tcf(c_1742,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1741,c_1526,c_1403,c_891,c_813,c_810,c_794,c_785,c_783,c_780,c_779,c_778,c_592,c_597,c_770,c_418,c_744,c_759]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN213-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 00:30:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 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...
% 3.03/1.21 % SZS status Started for theBenchmark.p
% 3.03/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 3.03/1.21
% 3.03/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.03/1.21
% 3.03/1.21 % ------ iProver source info
% 3.03/1.21
% 3.03/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 3.03/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.03/1.21 % git: non_committed_changes: false
% 3.03/1.21
% 3.03/1.21 % ------ Parsing...% successful
% 3.03/1.21
% 3.03/1.21
% 3.03/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 3.03/1.21 %
% 3.03/1.21
% 3.03/1.21 % ------ Preprocessing... sf_s rm: 46 0s sf_e sf_s rm: 0 0s sf_e %
% 3.03/1.21
% 3.03/1.21 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 3.03/1.21 gs_s sp: 104 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.03/1.21 % ------ Proving...
% 3.03/1.21 % ------ Problem Properties
% 3.03/1.21
% 3.03/1.21 %
% 3.03/1.21 % clauses 376
% 3.03/1.21 % conjectures 1
% 3.03/1.21 % EPR 376
% 3.03/1.21 % Horn 325
% 3.03/1.21 % unary 52
% 3.03/1.21 % binary 151
% 3.03/1.21 % lits 938
% 3.03/1.21 % lits eq 0
% 3.03/1.21 % fd_pure 0
% 3.03/1.21 % fd_pseudo 0
% 3.03/1.21 % fd_cond 0
% 3.03/1.21 % fd_pseudo_cond 0
% 3.03/1.21 % AC symbols 0
% 3.03/1.21
% 3.03/1.21 % ------ Schedule EPR non Horn non eq is on
% 3.03/1.21
% 3.03/1.21 % ------ no equalities: superposition off
% 3.03/1.21
% 3.03/1.21 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.03/1.21
% 3.03/1.21
% 3.03/1.21 % ------
% 3.03/1.21 % Current options:
% 3.03/1.21 % ------
% 3.03/1.21
% 3.03/1.21
% 3.03/1.21 %
% 3.03/1.21
% 3.03/1.21 % ------ Proving...
% 3.03/1.21 %
% 3.03/1.21
% 3.03/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 3.03/1.21
% 3.03/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.03/1.21
% 3.03/1.21
%------------------------------------------------------------------------------