%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN301-1 : 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 : n020.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 03:39:39 PM UTC 2026
% Result : Unsatisfiable 0.76s 6.34s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 12 unt; 0 def)
% Number of atoms : 88 ( 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 : 14 ( 13 usr; 5 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
m0(e,d,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_4) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f29,axiom,
q0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_29) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
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(f284,axiom,
! [X0] :
( ~ l2(X0,X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_246) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( ~ l1(X0,X2)
| ~ p3(X1,X2,X3)
| s4(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_299) ).
fof(f369,negated_conjecture,
~ s4(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_421,plain,
m0(e,d,a),
inference(cnf_transformation,[],[f4]) ).
tcf(c_431,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_446,plain,
q0(d,b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_454,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i] :
( l1(X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
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_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_696,plain,
! [X0: $i] :
( p3(X0,X0,X0)
| ~ l2(X0,X0) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s4(X3)
| ~ l1(X3,X1)
| ~ p3(X0,X1,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_768,negated_conjecture,
~ s4(a),
inference(cnf_transformation,[],[f369]) ).
tcf(c_770,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_775,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_578]) ).
tcf(c_1131,plain,
! [X0: $i] :
( ~ iPr_def_57
| ~ p0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_57])],[c_585]) ).
tcf(c_1132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_58
| ~ s1(X1)
| l2(X2,X2)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_58])],[c_585]) ).
tcf(c_1133,plain,
( iPr_def_58
| iPr_def_57 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_585]) ).
tcf(c_1134,plain,
! [X0: $i] :
( ~ iPr_def_59
| ~ s1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_59])],[c_579]) ).
tcf(c_1135,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_60
| s1(X0)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_60])],[c_579]) ).
tcf(c_1136,plain,
( iPr_def_60
| iPr_def_59 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_579]) ).
tcf(c_1186,plain,
( ~ iPr_def_59
| ~ s1(b) ),
inference(instantiation,[status(thm)],[c_1134]) ).
tcf(c_1194,plain,
( ~ iPr_def_57
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_1131]) ).
tcf(c_1270,plain,
( l1(a,a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_457]) ).
tcf(c_1279,plain,
! [X0: $i] :
( s1(d)
| ~ iPr_def_60
| ~ q0(d,X0) ),
inference(instantiation,[status(thm)],[c_1135]) ).
tcf(c_1280,plain,
( s1(d)
| ~ iPr_def_60
| ~ q0(d,b) ),
inference(instantiation,[status(thm)],[c_1279]) ).
tcf(c_1471,plain,
( l2(a,a)
| ~ iPr_def_58
| ~ s1(d)
| ~ m0(e,d,a) ),
inference(instantiation,[status(thm)],[c_1132]) ).
tcf(c_1697,plain,
! [X0: $i,X1: $i,X2: $i] :
( s4(a)
| ~ l1(a,X1)
| ~ p3(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_747]) ).
tcf(c_2004,plain,
! [X0: $i,X1: $i] :
( s4(a)
| ~ l1(a,a)
| ~ p3(X0,a,X1) ),
inference(instantiation,[status(thm)],[c_1697]) ).
tcf(c_2299,plain,
( s4(a)
| ~ l1(a,a)
| ~ p3(a,a,a) ),
inference(instantiation,[status(thm)],[c_2004]) ).
tcf(c_2300,plain,
( p3(a,a,a)
| ~ l2(a,a) ),
inference(instantiation,[status(thm)],[c_696]) ).
tcf(c_2304,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2300,c_2299,c_1471,c_1280,c_1270,c_1194,c_1186,c_1136,c_1133,c_775,c_421,c_770,c_446,c_454,c_768]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN301-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.57 % Computer : n020.cluster.edu
% 0.09/5.57 % Model : x86_64 x86_64
% 0.09/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.57 % Memory : 8046.5625MB
% 0.09/5.57 % OS : Linux 6.8.0-71-generic
% 0.09/5.57 % CPULimit : 300
% 0.09/5.57 % WCLimit : 300
% 0.09/5.57 % DateTime : Fri Sep 25 00:47:11 UTC 2026
% 0.09/5.57 % CPUTime :
% 0.09/5.57 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.61 Running EPR theorem proving
% 0.13/5.61 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
% 0.13/5.63
% 0.13/5.63 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.63
% 0.13/5.63 % Detected problem language: tptp
% 0.13/5.64 % Proving...
% 0.76/6.34 % SZS status Started for theBenchmark.p
% 0.76/6.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.76/6.34
% 0.76/6.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.76/6.34
% 0.76/6.34 % ------ iProver source info
% 0.76/6.34
% 0.76/6.34 % git: date: 2026-07-19 20:42:38 +0200
% 0.76/6.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.76/6.34 % git: non_committed_changes: false
% 0.76/6.34
% 0.76/6.34 % ------ Parsing...% successful
% 0.76/6.34
% 0.76/6.34
% 0.76/6.34 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.76/6.34 %
% 0.76/6.34
% 0.76/6.34 % ------ Preprocessing... sf_s rm: 75 0s sf_e sf_s rm: 0 0s sf_e %
% 0.76/6.34
% 0.76/6.34 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 0.76/6.34 gs_s sp: 88 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.76/6.34 % ------ Proving...
% 0.76/6.34 % ------ Problem Properties
% 0.76/6.34
% 0.76/6.34 %
% 0.76/6.34 % clauses 333
% 0.76/6.34 % conjectures 1
% 0.76/6.34 % EPR 333
% 0.76/6.34 % Horn 290
% 0.76/6.34 % unary 51
% 0.76/6.34 % binary 137
% 0.76/6.34 % lits 812
% 0.76/6.34 % lits eq 0
% 0.76/6.34 % fd_pure 0
% 0.76/6.34 % fd_pseudo 0
% 0.76/6.34 % fd_cond 0
% 0.76/6.34 % fd_pseudo_cond 0
% 0.76/6.34 % AC symbols 0
% 0.76/6.34
% 0.76/6.34 % ------ Schedule EPR non Horn non eq is on
% 0.76/6.34
% 0.76/6.34 % ------ no equalities: superposition off
% 0.76/6.34
% 0.76/6.34 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.76/6.34
% 0.76/6.34
% 0.76/6.34 % ------
% 0.76/6.34 % Current options:
% 0.76/6.34 % ------
% 0.76/6.34
% 0.76/6.34
% 0.76/6.34 %
% 0.76/6.34
% 0.76/6.34 % ------ Proving...
% 0.76/6.34 %
% 0.76/6.34
% 0.76/6.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.76/6.34
% 0.76/6.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.76/6.34
% 0.76/6.34
%------------------------------------------------------------------------------