%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN219-1 : 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 : 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 03:39:28 PM UTC 2026
% Result : Unsatisfiable 0.65s 1.11s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 15 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 98 ( 51 ~; 47 |; 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; 5 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
q0(e,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_2) ).
fof(f11,axiom,
n0(e,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_11) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f29,axiom,
q0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_29) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f169,axiom,
! [X0,X1] :
( ~ l2(X1,X1)
| ~ n0(e,X1)
| ~ s1(X0)
| l2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_131) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f369,negated_conjecture,
~ l2(e,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_419,plain,
q0(e,d),
inference(cnf_transformation,[],[f2]) ).
tcf(c_428,plain,
n0(e,b),
inference(cnf_transformation,[],[f11]) ).
tcf(c_431,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_436,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_446,plain,
q0(d,b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_578,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i,X2: $i] :
( s1(X0)
| ~ s1(X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_584,plain,
! [X0: $i,X1: $i] :
( l2(X1,X0)
| ~ s1(X1)
| ~ n0(e,X0)
| ~ l2(X0,X0) ),
inference(cnf_transformation,[],[f169]) ).
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_768,negated_conjecture,
~ l2(e,b),
inference(cnf_transformation,[],[f369]) ).
tcf(c_770,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_771,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[c_436]) ).
tcf(c_775,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_578]) ).
tcf(c_1063,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ p0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_585]) ).
tcf(c_1064,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_11
| ~ s1(X1)
| l2(X2,X2)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_585]) ).
tcf(c_1065,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_585]) ).
tcf(c_1066,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ s1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_579]) ).
tcf(c_1067,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| s1(X0)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_579]) ).
tcf(c_1068,plain,
( iPr_def_13
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_579]) ).
tcf(c_1084,plain,
( ~ iPr_def_12
| ~ s1(b) ),
inference(instantiation,[status(thm)],[c_1066]) ).
tcf(c_1087,plain,
( ~ iPr_def_10
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_1063]) ).
tcf(c_1117,plain,
! [X0: $i,X1: $i] :
( l2(X1,X1)
| ~ iPr_def_11
| ~ s1(d)
| ~ m0(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_1064]) ).
tcf(c_1118,plain,
( l2(b,b)
| ~ iPr_def_11
| ~ s1(d)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1117]) ).
tcf(c_1175,plain,
! [X0: $i] :
( s1(d)
| ~ iPr_def_13
| ~ q0(d,X0) ),
inference(instantiation,[status(thm)],[c_1067]) ).
tcf(c_1177,plain,
( s1(d)
| ~ iPr_def_13
| ~ q0(d,b) ),
inference(instantiation,[status(thm)],[c_1175]) ).
tcf(c_1180,plain,
( l2(e,b)
| ~ s1(e)
| ~ n0(e,b)
| ~ l2(b,b) ),
inference(instantiation,[status(thm)],[c_584]) ).
tcf(c_1184,plain,
! [X0: $i] :
( s1(e)
| ~ iPr_def_13
| ~ q0(e,X0) ),
inference(instantiation,[status(thm)],[c_1067]) ).
tcf(c_1187,plain,
( s1(e)
| ~ iPr_def_13
| ~ q0(e,d) ),
inference(instantiation,[status(thm)],[c_1184]) ).
tcf(c_1188,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1187,c_1180,c_1177,c_1118,c_1087,c_1084,c_1068,c_1065,c_775,c_771,c_768,c_419,c_428,c_770,c_446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN219-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 00:32:03 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running EPR theorem proving
% 0.09/0.40 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
% 0.09/0.42
% 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...
% 0.65/1.11 % SZS status Started for theBenchmark.p
% 0.65/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.65/1.11
% 0.65/1.11 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.65/1.11
% 0.65/1.11 % ------ iProver source info
% 0.65/1.11
% 0.65/1.11 % git: date: 2026-07-19 20:42:38 +0200
% 0.65/1.11 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.65/1.11 % git: non_committed_changes: false
% 0.65/1.11
% 0.65/1.11 % ------ Parsing...% successful
% 0.65/1.11
% 0.65/1.11
% 0.65/1.11 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.65/1.11 %
% 0.65/1.11
% 0.65/1.11 % ------ Preprocessing... sf_s rm: 259 0s sf_e sf_s rm: 0 0s sf_e %
% 0.65/1.11
% 0.65/1.11 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 0.65/1.11 gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.65/1.11 % ------ Proving...
% 0.65/1.11 % ------ Problem Properties
% 0.65/1.11
% 0.65/1.11 %
% 0.65/1.11 % clauses 84
% 0.65/1.11 % conjectures 1
% 0.65/1.11 % EPR 84
% 0.65/1.11 % Horn 77
% 0.65/1.11 % unary 43
% 0.65/1.11 % binary 20
% 0.65/1.11 % lits 154
% 0.65/1.11 % lits eq 0
% 0.65/1.11 % fd_pure 0
% 0.65/1.11 % fd_pseudo 0
% 0.65/1.11 % fd_cond 0
% 0.65/1.11 % fd_pseudo_cond 0
% 0.65/1.11 % AC symbols 0
% 0.65/1.11
% 0.65/1.11 % ------ Schedule EPR non Horn non eq is on
% 0.65/1.11
% 0.65/1.11 % ------ no equalities: superposition off
% 0.65/1.11
% 0.65/1.11 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.65/1.11
% 0.65/1.11
% 0.65/1.11 % ------
% 0.65/1.11 % Current options:
% 0.65/1.11 % ------
% 0.65/1.11
% 0.65/1.11
% 0.65/1.11 %
% 0.65/1.11
% 0.65/1.11 % ------ Proving...
% 0.65/1.11 %
% 0.65/1.11
% 0.65/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.65/1.11
% 0.65/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.65/1.11
% 0.65/1.11
%------------------------------------------------------------------------------