%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN110-1 : 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 03:39:12 PM UTC 2026
% Result : Unsatisfiable 3.02s 1.19s
% Output : CNFRefutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 14 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 100 ( 51 ~; 49 |; 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; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] : m0(a,X0,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f33,axiom,
q0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_33) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f58,axiom,
( ~ l0(c)
| m1(c,c,c) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_020) ).
fof(f62,axiom,
! [X2,X0,X1] :
( ~ m1(X1,c,X1)
| ~ q0(X0,X1)
| ~ m0(a,X2,a)
| m1(X0,a,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_024) ).
fof(f130,axiom,
! [X2,X3,X0,X1] :
( ~ p0(X3,X0)
| ~ n0(X2,X1)
| q1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_092) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f369,negated_conjecture,
~ k2(c,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ k2(c,a),
inference(cnf_transformation,[],[f369]) ).
tcf(c_429,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1(X2,a,X0)
| ~ q0(X2,X0)
| ~ m0(a,X1,a)
| ~ m1(X0,c,X0) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_434,plain,
! [X0: $i] : m0(a,X0,a),
inference(cnf_transformation,[],[f12]) ).
tcf(c_460,plain,
! [X0: $i,X1: $i] :
( k2(X1,X1)
| ~ q1(X0,X1,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( k2(X2,X1)
| ~ k1(X3)
| ~ k2(X3,X1)
| ~ m1(X0,X1,X2) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( q1(X3,X1,X3)
| ~ p0(X2,X3)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_545,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_556,plain,
q0(d,c),
inference(cnf_transformation,[],[f33]) ).
tcf(c_621,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_622,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_690,plain,
( m1(c,c,c)
| ~ l0(c) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_693,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_1072,plain,
! [X0: $i] :
( ~ iPr_def_38
| ~ m0(a,X0,a) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_429]) ).
tcf(c_1073,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_39
| ~ q0(X0,X1)
| ~ m1(X1,c,X1)
| m1(X0,a,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_429]) ).
tcf(c_1074,plain,
( iPr_def_39
| iPr_def_38 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).
tcf(c_1107,plain,
! [X0: $i] :
( m1(X0,a,c)
| ~ iPr_def_39
| ~ q0(X0,c)
| ~ m1(c,c,c) ),
inference(instantiation,[status(thm)],[c_1073]) ).
tcf(c_1124,plain,
( k1(a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_621]) ).
tcf(c_1237,plain,
( m1(d,a,c)
| ~ iPr_def_39
| ~ q0(d,c)
| ~ m1(c,c,c) ),
inference(instantiation,[status(thm)],[c_1107]) ).
tcf(c_1239,plain,
p0(b,a),
inference(instantiation,[status(thm)],[c_545]) ).
tcf(c_1243,plain,
! [X0: $i,X1: $i] :
( k2(c,a)
| ~ k1(X1)
| ~ k2(X1,a)
| ~ m1(X0,a,c) ),
inference(instantiation,[status(thm)],[c_462]) ).
tcf(c_1294,plain,
! [X0: $i] :
( k2(c,a)
| ~ k1(a)
| ~ k2(a,a)
| ~ m1(X0,a,c) ),
inference(instantiation,[status(thm)],[c_1243]) ).
tcf(c_1295,plain,
! [X0: $i] :
( k2(a,a)
| ~ q1(X0,a,a) ),
inference(instantiation,[status(thm)],[c_460]) ).
tcf(c_1317,plain,
( k2(a,a)
| ~ q1(a,a,a) ),
inference(instantiation,[status(thm)],[c_1295]) ).
tcf(c_1318,plain,
! [X0: $i,X1: $i] :
( q1(a,a,a)
| ~ p0(X1,a)
| ~ n0(X0,a) ),
inference(instantiation,[status(thm)],[c_537]) ).
tcf(c_1319,plain,
( q1(a,a,a)
| ~ p0(b,a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_1318]) ).
tcf(c_1348,plain,
( k2(c,a)
| ~ k1(a)
| ~ k2(a,a)
| ~ m1(d,a,c) ),
inference(instantiation,[status(thm)],[c_1294]) ).
tcf(c_1349,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1348,c_1319,c_1317,c_1239,c_1237,c_1124,c_1072,c_1074,c_690,c_434,c_418,c_556,c_622,c_693]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN110-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n016.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 00:16:58 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running EPR theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 3.02/1.19 % SZS status Started for theBenchmark.p
% 3.02/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.02/1.19
% 3.02/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.02/1.19
% 3.02/1.19 % ------ iProver source info
% 3.02/1.19
% 3.02/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.02/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.02/1.19 % git: non_committed_changes: false
% 3.02/1.19
% 3.02/1.19 % ------ Parsing...% successful
% 3.02/1.19
% 3.02/1.19
% 3.02/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 3.02/1.19 %
% 3.02/1.19
% 3.02/1.19 % ------ Preprocessing... sf_s rm: 177 0s sf_e sf_s rm: 0 0s sf_e %
% 3.02/1.19
% 3.02/1.19 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 3.02/1.19 gs_s sp: 40 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.02/1.19 % ------ Proving...
% 3.02/1.19 % ------ Problem Properties
% 3.02/1.19
% 3.02/1.19 %
% 3.02/1.19 % clauses 172
% 3.02/1.19 % conjectures 1
% 3.02/1.19 % EPR 172
% 3.02/1.19 % Horn 152
% 3.02/1.19 % unary 50
% 3.02/1.19 % binary 62
% 3.02/1.19 % lits 376
% 3.02/1.19 % lits eq 0
% 3.02/1.19 % fd_pure 0
% 3.02/1.19 % fd_pseudo 0
% 3.02/1.19 % fd_cond 0
% 3.02/1.19 % fd_pseudo_cond 0
% 3.02/1.19 % AC symbols 0
% 3.02/1.19
% 3.02/1.19 % ------ Schedule EPR non Horn non eq is on
% 3.02/1.19
% 3.02/1.19 % ------ no equalities: superposition off
% 3.02/1.19
% 3.02/1.19 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.02/1.19
% 3.02/1.19
% 3.02/1.19 % ------
% 3.02/1.19 % Current options:
% 3.02/1.19 % ------
% 3.02/1.19
% 3.02/1.19
% 3.02/1.19 %
% 3.02/1.19
% 3.02/1.19 % ------ Proving...
% 3.02/1.19 %
% 3.02/1.19
% 3.02/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.02/1.19
% 3.02/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.02/1.19
% 3.02/1.19
%------------------------------------------------------------------------------