%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN128-1 : 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 : n014.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 03:39:15 PM UTC 2026
% Result : Unsatisfiable 0.67s 1.12s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 7 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 41 ~; 38 |; 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 : 13 ( 12 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).
fof(f248,axiom,
! [X0] :
( ~ n2(X0)
| k3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_210) ).
fof(f274,axiom,
! [X0] :
( ~ n2(X0)
| m3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_236) ).
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/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_295) ).
fof(f340,axiom,
! [X0,X1] :
( ~ k1(X0)
| ~ q4(X1,X1)
| l5(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_302) ).
fof(f369,negated_conjecture,
~ l5(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_443,plain,
n0(d,c),
inference(cnf_transformation,[],[f26]) ).
tcf(c_449,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_522,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
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_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_750,plain,
! [X0: $i,X1: $i] :
( l5(X1)
| ~ k1(X1)
| ~ q4(X0,X0) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_768,negated_conjecture,
~ l5(c),
inference(cnf_transformation,[],[f369]) ).
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_1067,plain,
! [X0: $i] :
( ~ iPr_def_15
| l5(X0)
| ~ k1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_750]) ).
tcf(c_1068,plain,
! [X0: $i] :
( ~ iPr_def_16
| ~ q4(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_750]) ).
tcf(c_1069,plain,
( iPr_def_16
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_750]) ).
tcf(c_1195,plain,
( ~ iPr_def_16
| ~ q4(b,b) ),
inference(instantiation,[status(thm)],[c_1068]) ).
tcf(c_1264,plain,
( k1(c)
| ~ n0(d,c) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1675,plain,
( l5(c)
| ~ iPr_def_15
| ~ k1(c) ),
inference(instantiation,[status(thm)],[c_1067]) ).
tcf(c_1676,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1675,c_1264,c_1195,c_1069,c_914,c_819,c_790,c_788,c_786,c_784,c_443,c_768,c_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN128-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 00:15:19 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running EPR theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 0.67/1.12 % SZS status Started for theBenchmark.p
% 0.67/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.67/1.12
% 0.67/1.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.67/1.12
% 0.67/1.12 % ------ iProver source info
% 0.67/1.12
% 0.67/1.12 % git: date: 2026-07-19 20:42:38 +0200
% 0.67/1.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.67/1.12 % git: non_committed_changes: false
% 0.67/1.12
% 0.67/1.12 % ------ Parsing...% successful
% 0.67/1.12
% 0.67/1.12
% 0.67/1.12 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.67/1.12 %
% 0.67/1.12
% 0.67/1.12 % ------ Preprocessing... sf_s rm: 70 0s sf_e sf_s rm: 0 0s sf_e %
% 0.67/1.12
% 0.67/1.12 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 0.67/1.12 gs_s sp: 92 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.67/1.12 % ------ Proving...
% 0.67/1.12 % ------ Problem Properties
% 0.67/1.12
% 0.67/1.12 %
% 0.67/1.12 % clauses 342
% 0.67/1.12 % conjectures 1
% 0.67/1.12 % EPR 342
% 0.67/1.12 % Horn 297
% 0.67/1.12 % unary 52
% 0.67/1.12 % binary 141
% 0.67/1.12 % lits 834
% 0.67/1.12 % lits eq 0
% 0.67/1.12 % fd_pure 0
% 0.67/1.12 % fd_pseudo 0
% 0.67/1.12 % fd_cond 0
% 0.67/1.12 % fd_pseudo_cond 0
% 0.67/1.12 % AC symbols 0
% 0.67/1.12
% 0.67/1.12 % ------ Schedule EPR non Horn non eq is on
% 0.67/1.12
% 0.67/1.12 % ------ no equalities: superposition off
% 0.67/1.12
% 0.67/1.12 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.67/1.12
% 0.67/1.12
% 0.67/1.12 % ------
% 0.67/1.12 % Current options:
% 0.67/1.12 % ------
% 0.67/1.12
% 0.67/1.12
% 0.67/1.12 %
% 0.67/1.12
% 0.67/1.12 % ------ Proving...
% 0.67/1.12 %
% 0.67/1.12
% 0.67/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.67/1.12
% 0.67/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.67/1.12
% 0.67/1.12
%------------------------------------------------------------------------------