%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN166-1 : 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 : n010.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 03:39:20 PM UTC 2026
% Result : Unsatisfiable 1.51s 1.34s
% Output : CNFRefutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 37 ( 15 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 94 ( 48 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f12,axiom,
! [X0] : m0(a,X0,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
fof(f54,axiom,
! [X2,X3,X0,X1] :
( ~ m1(X2,X3,X1)
| ~ m1(X2,X1,X0)
| m1(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_016) ).
fof(f59,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_021) ).
fof(f62,axiom,
! [X2,X0,X1] :
( ~ m1(X1,c,X1)
| ~ q0(X0,X1)
| ~ m0(a,X2,a)
| m1(X0,a,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_024) ).
fof(f73,axiom,
! [X0,X1] :
( ~ l0(X1)
| ~ r0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_035) ).
fof(f121,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ m1(X0,X1,b)
| p1(X0,b,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_083) ).
fof(f369,negated_conjecture,
~ p1(a,b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_426,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_429,plain,
! [X0: $i] : m0(a,X0,a),
inference(cnf_transformation,[],[f12]) ).
tcf(c_437,plain,
l0(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_441,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_449,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_453,plain,
q0(a,b),
inference(cnf_transformation,[],[f36]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1(X2,X1,X1)
| ~ m1(X0,X3,X1)
| ~ m1(X0,X1,X2) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X0)
| ~ k0(X1)
| ~ l0(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_479,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1(X2,a,X0)
| ~ q0(X2,X0)
| ~ m0(a,X1,a)
| ~ m1(X0,c,X0) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_490,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X0)
| ~ l0(X1)
| ~ r0(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_536,plain,
! [X0: $i,X1: $i] :
( p1(X0,b,X1)
| ~ k0(X1)
| ~ m1(X0,X1,b) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_768,negated_conjecture,
~ p1(a,b,b),
inference(cnf_transformation,[],[f369]) ).
tcf(c_1087,plain,
! [X0: $i] :
( ~ iPr_def_28
| ~ m0(a,X0,a) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_479]) ).
tcf(c_1088,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_29
| ~ q0(X1,X0)
| m1(X1,a,X0)
| ~ m1(X0,c,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_479]) ).
tcf(c_1089,plain,
( iPr_def_29
| iPr_def_28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_479]) ).
tcf(c_1119,plain,
( p1(a,b,b)
| ~ k0(b)
| ~ m1(a,b,b) ),
inference(instantiation,[status(thm)],[c_536]) ).
tcf(c_1165,plain,
! [X0: $i] :
( m1(a,X0,a)
| ~ l0(a)
| ~ k0(X0) ),
inference(instantiation,[status(thm)],[c_476]) ).
tcf(c_1166,plain,
( m1(a,b,a)
| ~ k0(b)
| ~ l0(a) ),
inference(instantiation,[status(thm)],[c_1165]) ).
tcf(c_1171,plain,
! [X0: $i] :
( m1(X0,c,X0)
| ~ l0(c)
| ~ r0(X0) ),
inference(instantiation,[status(thm)],[c_490]) ).
tcf(c_1172,plain,
( m1(b,c,b)
| ~ l0(c)
| ~ r0(b) ),
inference(instantiation,[status(thm)],[c_1171]) ).
tcf(c_1229,plain,
! [X0: $i,X1: $i] :
( m1(a,b,b)
| ~ m1(X0,b,a)
| ~ m1(X0,X1,b) ),
inference(instantiation,[status(thm)],[c_471]) ).
tcf(c_1304,plain,
! [X0: $i] :
( m1(a,b,b)
| ~ m1(a,b,a)
| ~ m1(a,X0,b) ),
inference(instantiation,[status(thm)],[c_1229]) ).
tcf(c_1350,plain,
( m1(a,b,b)
| ~ m1(a,b,a)
| ~ m1(a,a,b) ),
inference(instantiation,[status(thm)],[c_1304]) ).
tcf(c_1351,plain,
( m1(a,a,b)
| ~ iPr_def_29
| ~ q0(a,b)
| ~ m1(b,c,b) ),
inference(instantiation,[status(thm)],[c_1088]) ).
tcf(c_1352,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1351,c_1350,c_1172,c_1166,c_1119,c_1087,c_1089,c_768,c_429,c_453,c_426,c_437,c_441,c_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN166-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.43 % Computer : n010.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Fri Sep 25 00:22:29 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.24/0.50 Running EPR theorem proving
% 0.24/0.50 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
% 0.24/0.52
% 0.24/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.52
% 0.24/0.52 % Detected problem language: tptp
% 0.24/0.54 % Proving...
% 1.51/1.34 % SZS status Started for theBenchmark.p
% 1.51/1.34 % SZS status Unsatisfiable for theBenchmark.p
% 1.51/1.34
% 1.51/1.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.51/1.34
% 1.51/1.34 % ------ iProver source info
% 1.51/1.34
% 1.51/1.34 % git: date: 2026-07-19 20:42:38 +0200
% 1.51/1.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.51/1.34 % git: non_committed_changes: false
% 1.51/1.34
% 1.51/1.34 % ------ Parsing...% successful
% 1.51/1.34
% 1.51/1.34
% 1.51/1.34 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.51/1.34 %
% 1.51/1.34
% 1.51/1.34 % ------ Preprocessing... sf_s rm: 222 0s sf_e sf_s rm: 0 0s sf_e %
% 1.51/1.34
% 1.51/1.34 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.51/1.34 gs_s sp: 28 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.51/1.34 % ------ Proving...
% 1.51/1.34 % ------ Problem Properties
% 1.51/1.34
% 1.51/1.34 %
% 1.51/1.34 % clauses 134
% 1.51/1.34 % conjectures 1
% 1.51/1.34 % EPR 134
% 1.51/1.34 % Horn 120
% 1.51/1.34 % unary 48
% 1.51/1.34 % binary 40
% 1.51/1.34 % lits 280
% 1.51/1.34 % lits eq 0
% 1.51/1.34 % fd_pure 0
% 1.51/1.34 % fd_pseudo 0
% 1.51/1.34 % fd_cond 0
% 1.51/1.34 % fd_pseudo_cond 0
% 1.51/1.34 % AC symbols 0
% 1.51/1.34
% 1.51/1.34 % ------ Schedule EPR non Horn non eq is on
% 1.51/1.34
% 1.51/1.34 % ------ no equalities: superposition off
% 1.51/1.34
% 1.51/1.34 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.51/1.34
% 1.51/1.34
% 1.51/1.34 % ------
% 1.51/1.34 % Current options:
% 1.51/1.34 % ------
% 1.51/1.34
% 1.51/1.34
% 1.51/1.34 %
% 1.51/1.34
% 1.51/1.34 % ------ Proving...
% 1.51/1.34 %
% 1.51/1.34
% 1.51/1.34 % SZS status Unsatisfiable for theBenchmark.p
% 1.51/1.34
% 1.51/1.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.51/1.34
% 1.51/1.34
%------------------------------------------------------------------------------