%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN121-1 : 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 03:39:14 PM UTC 2026
% Result : Unsatisfiable 3.12s 11.30s
% Output : CNFRefutation 3.12s
% 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 : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
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(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
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(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ l2(a,b),
inference(cnf_transformation,[],[f369]) ).
tcf(c_431,plain,
q0(a,b),
inference(cnf_transformation,[],[f36]) ).
tcf(c_448,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_449,plain,
! [X0: $i,X1: $i] :
( l2(X1,X0)
| ~ s1(X1)
| ~ n0(e,X0)
| ~ l2(X0,X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_515,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_541,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_553,plain,
q0(d,b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_614,plain,
n0(e,b),
inference(cnf_transformation,[],[f11]) ).
tcf(c_687,plain,
! [X0: $i,X1: $i,X2: $i] :
( s1(X0)
| ~ s1(X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_688,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_751,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_541]) ).
tcf(c_752,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[c_515]) ).
tcf(c_754,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_688]) ).
tcf(c_1024,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ p0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_448]) ).
tcf(c_1025,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_448]) ).
tcf(c_1026,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).
tcf(c_1027,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ s1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_687]) ).
tcf(c_1028,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| s1(X0)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_687]) ).
tcf(c_1029,plain,
( iPr_def_13
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_687]) ).
tcf(c_1045,plain,
( ~ iPr_def_12
| ~ s1(b) ),
inference(instantiation,[status(thm)],[c_1027]) ).
tcf(c_1048,plain,
( ~ iPr_def_10
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_1024]) ).
tcf(c_1082,plain,
! [X0: $i,X1: $i] :
( l2(X1,X1)
| ~ iPr_def_11
| ~ s1(d)
| ~ m0(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_1025]) ).
tcf(c_1083,plain,
( l2(b,b)
| ~ iPr_def_11
| ~ s1(d)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1082]) ).
tcf(c_1140,plain,
! [X0: $i] :
( s1(d)
| ~ iPr_def_13
| ~ q0(d,X0) ),
inference(instantiation,[status(thm)],[c_1028]) ).
tcf(c_1142,plain,
( s1(d)
| ~ iPr_def_13
| ~ q0(d,b) ),
inference(instantiation,[status(thm)],[c_1140]) ).
tcf(c_1143,plain,
( l2(a,b)
| ~ s1(a)
| ~ n0(e,b)
| ~ l2(b,b) ),
inference(instantiation,[status(thm)],[c_449]) ).
tcf(c_1147,plain,
! [X0: $i] :
( s1(a)
| ~ iPr_def_13
| ~ q0(a,X0) ),
inference(instantiation,[status(thm)],[c_1028]) ).
tcf(c_1149,plain,
( s1(a)
| ~ iPr_def_13
| ~ q0(a,b) ),
inference(instantiation,[status(thm)],[c_1147]) ).
tcf(c_1150,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1149,c_1143,c_1142,c_1083,c_1048,c_1045,c_1029,c_1026,c_754,c_752,c_418,c_431,c_751,c_553,c_614]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN121-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/10.40 % Computer : n014.cluster.edu
% 0.03/10.40 % Model : x86_64 x86_64
% 0.03/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/10.40 % Memory : 8046.5625MB
% 0.03/10.40 % OS : Linux 6.8.0-71-generic
% 0.03/10.40 % CPULimit : 300
% 0.03/10.40 % WCLimit : 300
% 0.03/10.40 % DateTime : Fri Sep 25 00:14:15 UTC 2026
% 0.03/10.40 % CPUTime :
% 0.03/10.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/10.44 Running EPR theorem proving
% 0.03/10.44 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
% 0.03/10.45
% 0.03/10.45 % ======== iProver multi-core TPTP/SMT =========
% 0.03/10.45
% 0.03/10.46 % Detected problem language: tptp
% 0.03/10.47 % Proving...
% 3.12/11.30 % SZS status Started for theBenchmark.p
% 3.12/11.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.12/11.30
% 3.12/11.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.12/11.30
% 3.12/11.30 % ------ iProver source info
% 3.12/11.30
% 3.12/11.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.12/11.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.12/11.30 % git: non_committed_changes: false
% 3.12/11.30
% 3.12/11.30 % ------ Parsing...% successful
% 3.12/11.30
% 3.12/11.30
% 3.12/11.30 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 3.12/11.30 %
% 3.12/11.30
% 3.12/11.30 % ------ Preprocessing... sf_s rm: 242 0s sf_e sf_s rm: 0 0s sf_e %
% 3.12/11.30
% 3.12/11.30 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 3.12/11.30 gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.12/11.30 % ------ Proving...
% 3.12/11.30 % ------ Problem Properties
% 3.12/11.30
% 3.12/11.30 %
% 3.12/11.30 % clauses 84
% 3.12/11.30 % conjectures 1
% 3.12/11.30 % EPR 84
% 3.12/11.30 % Horn 77
% 3.12/11.30 % unary 43
% 3.12/11.30 % binary 20
% 3.12/11.30 % lits 154
% 3.12/11.30 % lits eq 0
% 3.12/11.30 % fd_pure 0
% 3.12/11.30 % fd_pseudo 0
% 3.12/11.30 % fd_cond 0
% 3.12/11.30 % fd_pseudo_cond 0
% 3.12/11.30 % AC symbols 0
% 3.12/11.30
% 3.12/11.30 % ------ Schedule EPR non Horn non eq is on
% 3.12/11.30
% 3.12/11.30 % ------ no equalities: superposition off
% 3.12/11.30
% 3.12/11.30 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.12/11.30
% 3.12/11.30
% 3.12/11.30 % ------
% 3.12/11.30 % Current options:
% 3.12/11.30 % ------
% 3.12/11.30
% 3.12/11.30
% 3.12/11.30 %
% 3.12/11.30
% 3.12/11.30 % ------ Proving...
% 3.12/11.30 %
% 3.12/11.30
% 3.12/11.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.12/11.30
% 3.12/11.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.12/11.30
% 3.12/11.30
%------------------------------------------------------------------------------