%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN285-1 : 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 : n016.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 03:39:37 PM UTC 2026
% Result : Unsatisfiable 0.97s 1.12s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 39 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ q1(X1,X1,X2)
| ~ l0(X0)
| ~ k0(X2)
| q1(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_099) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ k1(X0)
| ~ q0(X1,X0)
| ~ p0(X2,X2)
| q1(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_109) ).
fof(f369,negated_conjecture,
~ q1(a,d,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_431,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_434,plain,
! [X0: $i] : q0(X0,d),
inference(cnf_transformation,[],[f17]) ).
tcf(c_437,plain,
l0(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_449,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_451,plain,
n0(c,d),
inference(cnf_transformation,[],[f34]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_552,plain,
! [X0: $i,X1: $i,X2: $i] :
( q1(X2,X0,X0)
| ~ k0(X1)
| ~ l0(X2)
| ~ q1(X0,X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_562,plain,
! [X0: $i,X1: $i,X2: $i] :
( q1(X1,X1,X0)
| ~ k1(X1)
| ~ p0(X2,X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_768,negated_conjecture,
~ q1(a,d,d),
inference(cnf_transformation,[],[f369]) ).
tcf(c_769,plain,
q0(b,d),
inference(instantiation,[status(thm)],[c_434]) ).
tcf(c_770,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_1071,plain,
! [X0: $i] :
( ~ iPr_def_18
| ~ p0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_562]) ).
tcf(c_1072,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_19
| ~ k1(X0)
| ~ q0(X1,X0)
| q1(X0,X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_562]) ).
tcf(c_1073,plain,
( iPr_def_19
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_562]) ).
tcf(c_1118,plain,
( ~ iPr_def_18
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_1071]) ).
tcf(c_1143,plain,
! [X0: $i,X1: $i] :
( q1(a,X0,X0)
| ~ l0(a)
| ~ k0(X1)
| ~ q1(X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_552]) ).
tcf(c_1161,plain,
( k1(d)
| ~ n0(c,d) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1296,plain,
! [X0: $i] :
( q1(a,d,d)
| ~ l0(a)
| ~ k0(X0)
| ~ q1(d,d,X0) ),
inference(instantiation,[status(thm)],[c_1143]) ).
tcf(c_1297,plain,
( q1(a,d,d)
| ~ k0(b)
| ~ l0(a)
| ~ q1(d,d,b) ),
inference(instantiation,[status(thm)],[c_1296]) ).
tcf(c_1343,plain,
! [X0: $i] :
( q1(d,d,X0)
| ~ iPr_def_19
| ~ k1(d)
| ~ q0(X0,d) ),
inference(instantiation,[status(thm)],[c_1072]) ).
tcf(c_1346,plain,
( q1(d,d,b)
| ~ iPr_def_19
| ~ k1(d)
| ~ q0(b,d) ),
inference(instantiation,[status(thm)],[c_1343]) ).
tcf(c_1347,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1346,c_1297,c_1161,c_1118,c_1073,c_768,c_770,c_769,c_451,c_437,c_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN285-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n016.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 00:48:28 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running EPR theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 0.97/1.12 % SZS status Started for theBenchmark.p
% 0.97/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.97/1.12
% 0.97/1.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.97/1.12
% 0.97/1.12 % ------ iProver source info
% 0.97/1.12
% 0.97/1.12 % git: date: 2026-07-19 20:42:38 +0200
% 0.97/1.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.97/1.12 % git: non_committed_changes: false
% 0.97/1.12
% 0.97/1.12 % ------ Parsing...% successful
% 0.97/1.12
% 0.97/1.12
% 0.97/1.12 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.97/1.12 %
% 0.97/1.12
% 0.97/1.12 % ------ Preprocessing... sf_s rm: 197 0s sf_e sf_s rm: 0 0s sf_e %
% 0.97/1.12
% 0.97/1.12 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 0.97/1.12 gs_s sp: 40 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.97/1.12 % ------ Proving...
% 0.97/1.12 % ------ Problem Properties
% 0.97/1.12
% 0.97/1.12 %
% 0.97/1.12 % clauses 168
% 0.97/1.12 % conjectures 1
% 0.97/1.12 % EPR 168
% 0.97/1.12 % Horn 148
% 0.97/1.12 % unary 50
% 0.97/1.12 % binary 60
% 0.97/1.12 % lits 364
% 0.97/1.12 % lits eq 0
% 0.97/1.12 % fd_pure 0
% 0.97/1.12 % fd_pseudo 0
% 0.97/1.12 % fd_cond 0
% 0.97/1.12 % fd_pseudo_cond 0
% 0.97/1.12 % AC symbols 0
% 0.97/1.12
% 0.97/1.12 % ------ Schedule EPR non Horn non eq is on
% 0.97/1.12
% 0.97/1.12 % ------ no equalities: superposition off
% 0.97/1.12
% 0.97/1.12 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.97/1.12
% 0.97/1.12
% 0.97/1.12 % ------
% 0.97/1.12 % Current options:
% 0.97/1.12 % ------
% 0.97/1.12
% 0.97/1.12
% 0.97/1.12 %
% 0.97/1.12
% 0.97/1.12 % ------ Proving...
% 0.97/1.12 %
% 0.97/1.12
% 0.97/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.97/1.12
% 0.97/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.97/1.12
% 0.97/1.12
%------------------------------------------------------------------------------