%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN176-1 : 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 : n011.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 03:39:22 PM UTC 2026
% Result : Unsatisfiable 1.03s 1.11s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 13 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 37 ~; 33 |; 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 : 11 ( 10 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
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(f31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_31) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f221,axiom,
! [X0,X1] :
( ~ l2(X1,X0)
| ~ l0(c)
| ~ k1(X1)
| q2(X0,c,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_183) ).
fof(f369,negated_conjecture,
! [X0] : ~ q2(e,c,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_420,plain,
n0(d,e),
inference(cnf_transformation,[],[f3]) ).
tcf(c_431,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_441,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_448,plain,
m0(b,b,e),
inference(cnf_transformation,[],[f31]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_578,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l2(X2,X2)
| ~ s1(X1)
| ~ p0(X3,X3)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i] :
( q2(X1,c,X0)
| ~ l0(c)
| ~ k1(X0)
| ~ l2(X0,X1) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_768,negated_conjecture,
! [X0: $i] : ~ q2(e,c,X0),
inference(cnf_transformation,[],[f369]) ).
tcf(c_770,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_776,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_578]) ).
tcf(c_1025,plain,
! [X0: $i,X1: $i] :
( q2(X1,c,X0)
| ~ l2(X0,X1)
| ~ k1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_635,c_441,c_635]) ).
tcf(c_1026,plain,
! [X0: $i,X1: $i] :
( q2(X1,c,X0)
| ~ k1(X0)
| ~ l2(X0,X1) ),
inference(renaming,[status(thm)],[c_1025]) ).
tcf(c_1075,plain,
! [X0: $i] :
( ~ iPr_def_18
| ~ p0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_585]) ).
tcf(c_1076,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_19
| ~ s1(X1)
| l2(X2,X2)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_585]) ).
tcf(c_1077,plain,
( iPr_def_19
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_585]) ).
tcf(c_1131,plain,
( ~ iPr_def_18
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_1075]) ).
tcf(c_1162,plain,
~ q2(e,c,e),
inference(instantiation,[status(thm)],[c_768]) ).
tcf(c_1173,plain,
( k1(e)
| ~ n0(d,e) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1276,plain,
( l2(e,e)
| ~ iPr_def_19
| ~ s1(b)
| ~ m0(b,b,e) ),
inference(instantiation,[status(thm)],[c_1076]) ).
tcf(c_1363,plain,
( q2(e,c,e)
| ~ k1(e)
| ~ l2(e,e) ),
inference(instantiation,[status(thm)],[c_1026]) ).
tcf(c_1364,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1363,c_1276,c_1173,c_1162,c_1131,c_1077,c_776,c_448,c_420,c_770]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN176-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 00:24:28 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running EPR theorem proving
% 0.09/0.40 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.03/1.11 % SZS status Started for theBenchmark.p
% 1.03/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 1.03/1.11
% 1.03/1.11 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.03/1.11
% 1.03/1.11 % ------ iProver source info
% 1.03/1.11
% 1.03/1.11 % git: date: 2026-07-19 20:42:38 +0200
% 1.03/1.11 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.03/1.11 % git: non_committed_changes: false
% 1.03/1.11
% 1.03/1.11 % ------ Parsing...% successful
% 1.03/1.11
% 1.03/1.11
% 1.03/1.11 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.03/1.11 %
% 1.03/1.11
% 1.03/1.11 % ------ Preprocessing... sf_s rm: 181 0s sf_e sf_s rm: 0 0s sf_e %
% 1.03/1.11
% 1.03/1.11 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.03/1.11 gs_s sp: 46 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.03/1.11 % ------ Proving...
% 1.03/1.11 % ------ Problem Properties
% 1.03/1.11
% 1.03/1.11 %
% 1.03/1.11 % clauses 189
% 1.03/1.11 % conjectures 1
% 1.03/1.11 % EPR 189
% 1.03/1.11 % Horn 166
% 1.03/1.11 % unary 50
% 1.03/1.11 % binary 68
% 1.03/1.11 % lits 424
% 1.03/1.11 % lits eq 0
% 1.03/1.11 % fd_pure 0
% 1.03/1.11 % fd_pseudo 0
% 1.03/1.11 % fd_cond 0
% 1.03/1.11 % fd_pseudo_cond 0
% 1.03/1.11 % AC symbols 0
% 1.03/1.11
% 1.03/1.11 % ------ Schedule EPR non Horn non eq is on
% 1.03/1.11
% 1.03/1.11 % ------ no equalities: superposition off
% 1.03/1.11
% 1.03/1.11 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.03/1.11
% 1.03/1.11
% 1.03/1.11 % ------
% 1.03/1.11 % Current options:
% 1.03/1.11 % ------
% 1.03/1.11
% 1.03/1.11
% 1.03/1.11 %
% 1.03/1.11
% 1.03/1.11 % ------ Proving...
% 1.03/1.11 %
% 1.03/1.11
% 1.03/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 1.03/1.11
% 1.03/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.03/1.11
% 1.03/1.11
%------------------------------------------------------------------------------