%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN272-1 : 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 : n013.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 03:39:35 PM UTC 2026
% Result : Unsatisfiable 2.72s 1.16s
% Output : CNFRefutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 49 ( 18 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 112 ( 58 ~; 54 |; 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 : 13 ( 12 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f12,axiom,
! [X0] : m0(a,X0,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f35,axiom,
m0(d,e,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_35) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f120,axiom,
! [X2,X3,X0,X1] :
( ~ p1(X2,X0,X3)
| ~ m0(X2,X0,X3)
| p1(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_082) ).
fof(f126,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_088) ).
fof(f174,axiom,
( ~ k1(b)
| m2(b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_136) ).
fof(f239,axiom,
! [X2,X3,X0,X1] :
( ~ m2(X2)
| ~ m2(X3)
| ~ p1(X1,X2,X0)
| k3(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_201) ).
fof(f271,axiom,
! [X0,X1] :
( ~ m2(X1)
| ~ n2(X0)
| m3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_233) ).
fof(f325,axiom,
! [X0,X1] :
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_287) ).
fof(f369,negated_conjecture,
! [X0] : ~ p4(d,e,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_424,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_429,plain,
! [X0: $i] : m0(a,X0,a),
inference(cnf_transformation,[],[f12]) ).
tcf(c_436,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_437,plain,
l0(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_452,plain,
m0(d,e,c),
inference(cnf_transformation,[],[f35]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X1,X3,X0)
| ~ p1(X0,X1,X2)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_541,plain,
( p1(a,a,a)
| ~ l0(a) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_588,plain,
( m2(b)
| ~ k1(b) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( k3(X2,X2,X0)
| ~ m2(X3)
| ~ m2(X1)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_683,plain,
! [X0: $i,X1: $i] :
( m3(X1,X1,X1)
| ~ n2(X1)
| ~ m2(X0) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_735,plain,
! [X0: $i,X1: $i] :
( p4(X0,X1,X0)
| ~ k3(X0,X0,X1) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_768,negated_conjecture,
! [X0: $i] : ~ p4(d,e,X0),
inference(cnf_transformation,[],[f369]) ).
tcf(c_1095,plain,
! [X0: $i] :
( ~ iPr_def_33
| ~ m2(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_683]) ).
tcf(c_1115,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_46
| ~ m2(X2)
| ~ p1(X1,X2,X0)
| k3(X0,X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_46])],[c_652]) ).
tcf(c_1116,plain,
( iPr_def_46
| iPr_def_33 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_652]) ).
tcf(c_1203,plain,
( ~ iPr_def_33
| ~ m2(b) ),
inference(instantiation,[status(thm)],[c_1095]) ).
tcf(c_1287,plain,
( p4(d,e,d)
| ~ k3(d,d,e) ),
inference(instantiation,[status(thm)],[c_735]) ).
tcf(c_1288,plain,
~ p4(d,e,d),
inference(instantiation,[status(thm)],[c_768]) ).
tcf(c_1297,plain,
( k1(b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1564,plain,
m0(a,a,a),
inference(instantiation,[status(thm)],[c_429]) ).
tcf(c_1646,plain,
! [X0: $i,X1: $i] :
( p1(X0,X1,a)
| ~ p1(a,X0,a)
| ~ m0(a,X0,a) ),
inference(instantiation,[status(thm)],[c_535]) ).
tcf(c_1650,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(d,X2,X0)
| ~ p1(X0,d,X1)
| ~ m0(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_535]) ).
tcf(c_1658,plain,
! [X0: $i] :
( p1(e,X0,d)
| ~ p1(d,e,c)
| ~ m0(d,e,c) ),
inference(instantiation,[status(thm)],[c_535]) ).
tcf(c_1659,plain,
( p1(e,b,d)
| ~ p1(d,e,c)
| ~ m0(d,e,c) ),
inference(instantiation,[status(thm)],[c_1658]) ).
tcf(c_2213,plain,
! [X0: $i] :
( p1(X0,d,a)
| ~ p1(a,X0,a)
| ~ m0(a,X0,a) ),
inference(instantiation,[status(thm)],[c_1646]) ).
tcf(c_2295,plain,
! [X0: $i] :
( k3(d,d,e)
| ~ iPr_def_46
| ~ m2(X0)
| ~ p1(e,X0,d) ),
inference(instantiation,[status(thm)],[c_1115]) ).
tcf(c_2296,plain,
( k3(d,d,e)
| ~ iPr_def_46
| ~ m2(b)
| ~ p1(e,b,d) ),
inference(instantiation,[status(thm)],[c_2295]) ).
tcf(c_2299,plain,
! [X0: $i] :
( p1(d,e,c)
| ~ p1(c,d,X0)
| ~ m0(c,d,X0) ),
inference(instantiation,[status(thm)],[c_1650]) ).
tcf(c_2690,plain,
! [X0: $i] : m0(X0,d,a),
inference(instantiation,[status(thm)],[c_436]) ).
tcf(c_2821,plain,
m0(a,c,a),
inference(instantiation,[status(thm)],[c_429]) ).
tcf(c_3305,plain,
( p1(d,e,c)
| ~ p1(c,d,a)
| ~ m0(c,d,a) ),
inference(instantiation,[status(thm)],[c_2299]) ).
tcf(c_3306,plain,
( p1(c,d,a)
| ~ p1(a,c,a)
| ~ m0(a,c,a) ),
inference(instantiation,[status(thm)],[c_2213]) ).
tcf(c_3425,plain,
( p1(a,c,a)
| ~ p1(a,a,a)
| ~ m0(a,a,a) ),
inference(instantiation,[status(thm)],[c_1646]) ).
tcf(c_3872,plain,
m0(c,d,a),
inference(instantiation,[status(thm)],[c_2690]) ).
tcf(c_3873,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3872,c_3425,c_3306,c_3305,c_2821,c_2296,c_1659,c_1564,c_1297,c_1288,c_1287,c_1203,c_1116,c_541,c_588,c_452,c_424,c_437]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN272-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 00:40:37 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.43 Running EPR theorem proving
% 0.11/0.43 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
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 2.72/1.16 % SZS status Started for theBenchmark.p
% 2.72/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.72/1.16
% 2.72/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.72/1.16
% 2.72/1.16 % ------ iProver source info
% 2.72/1.16
% 2.72/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 2.72/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.72/1.16 % git: non_committed_changes: false
% 2.72/1.16
% 2.72/1.16 % ------ Parsing...% successful
% 2.72/1.16
% 2.72/1.16
% 2.72/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.72/1.16 %
% 2.72/1.16
% 2.72/1.16 % ------ Preprocessing... sf_s rm: 40 0s sf_e sf_s rm: 0 0s sf_e %
% 2.72/1.16
% 2.72/1.16 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.72/1.16 gs_s sp: 102 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.72/1.16 % ------ Proving...
% 2.72/1.16 % ------ Problem Properties
% 2.72/1.16
% 2.72/1.16 %
% 2.72/1.16 % clauses 380
% 2.72/1.16 % conjectures 1
% 2.72/1.16 % EPR 380
% 2.72/1.16 % Horn 330
% 2.72/1.16 % unary 51
% 2.72/1.16 % binary 154
% 2.72/1.16 % lits 948
% 2.72/1.16 % lits eq 0
% 2.72/1.16 % fd_pure 0
% 2.72/1.16 % fd_pseudo 0
% 2.72/1.16 % fd_cond 0
% 2.72/1.16 % fd_pseudo_cond 0
% 2.72/1.16 % AC symbols 0
% 2.72/1.16
% 2.72/1.16 % ------ Schedule EPR non Horn non eq is on
% 2.72/1.16
% 2.72/1.16 % ------ no equalities: superposition off
% 2.72/1.16
% 2.72/1.16 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.72/1.16
% 2.72/1.16
% 2.72/1.16 % ------
% 2.72/1.16 % Current options:
% 2.72/1.16 % ------
% 2.72/1.16
% 2.72/1.16
% 2.72/1.16 %
% 2.72/1.16
% 2.72/1.16 % ------ Proving...
% 2.72/1.16 %
% 2.72/1.16
% 2.72/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 2.72/1.16
% 2.72/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.72/1.16
% 2.72/1.16
%------------------------------------------------------------------------------