%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN217-1 : 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 : n006.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 2.52s 1.22s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 38 ~; 34 |; 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 : 10 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
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(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(b,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ l2(b,b),
inference(cnf_transformation,[],[f369]) ).
tcf(c_431,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_568,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_658,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_671,plain,
! [X0: $i,X1: $i,X2: $i] :
( s1(X0)
| ~ s1(X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_672,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_687,plain,
q0(d,b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_751,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_658]) ).
tcf(c_752,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[c_568]) ).
tcf(c_754,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_672]) ).
tcf(c_1017,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ p0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_431]) ).
tcf(c_1018,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_431]) ).
tcf(c_1019,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).
tcf(c_1020,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ s1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_671]) ).
tcf(c_1021,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| s1(X0)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_671]) ).
tcf(c_1022,plain,
( iPr_def_13
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_671]) ).
tcf(c_1038,plain,
( ~ iPr_def_12
| ~ s1(b) ),
inference(instantiation,[status(thm)],[c_1020]) ).
tcf(c_1041,plain,
( ~ iPr_def_10
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_1017]) ).
tcf(c_1071,plain,
! [X0: $i,X1: $i] :
( l2(X1,X1)
| ~ iPr_def_11
| ~ s1(d)
| ~ m0(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_1018]) ).
tcf(c_1072,plain,
( l2(b,b)
| ~ iPr_def_11
| ~ s1(d)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1071]) ).
tcf(c_1148,plain,
! [X0: $i] :
( s1(d)
| ~ iPr_def_13
| ~ q0(d,X0) ),
inference(instantiation,[status(thm)],[c_1021]) ).
tcf(c_1150,plain,
( s1(d)
| ~ iPr_def_13
| ~ q0(d,b) ),
inference(instantiation,[status(thm)],[c_1148]) ).
tcf(c_1151,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1150,c_1072,c_1041,c_1038,c_1022,c_1019,c_754,c_752,c_418,c_751,c_687]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN217-1 : 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 : n006.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 00:31:26 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running EPR theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 2.52/1.22 % SZS status Started for theBenchmark.p
% 2.52/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 2.52/1.22
% 2.52/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.52/1.22
% 2.52/1.22 % ------ iProver source info
% 2.52/1.22
% 2.52/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 2.52/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.52/1.22 % git: non_committed_changes: false
% 2.52/1.22
% 2.52/1.22 % ------ Parsing...% successful
% 2.52/1.22
% 2.52/1.22
% 2.52/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.52/1.22 %
% 2.52/1.22
% 2.52/1.22 % ------ Preprocessing... sf_s rm: 242 0s sf_e sf_s rm: 0 0s sf_e %
% 2.52/1.22
% 2.52/1.22 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.52/1.22 gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.52/1.22 % ------ Proving...
% 2.52/1.22 % ------ Problem Properties
% 2.52/1.22
% 2.52/1.22 %
% 2.52/1.22 % clauses 84
% 2.52/1.22 % conjectures 1
% 2.52/1.22 % EPR 84
% 2.52/1.22 % Horn 77
% 2.52/1.22 % unary 43
% 2.52/1.22 % binary 20
% 2.52/1.22 % lits 154
% 2.52/1.22 % lits eq 0
% 2.52/1.22 % fd_pure 0
% 2.52/1.22 % fd_pseudo 0
% 2.52/1.22 % fd_cond 0
% 2.52/1.22 % fd_pseudo_cond 0
% 2.52/1.22 % AC symbols 0
% 2.52/1.22
% 2.52/1.22 % ------ Schedule EPR non Horn non eq is on
% 2.52/1.22
% 2.52/1.22 % ------ no equalities: superposition off
% 2.52/1.22
% 2.52/1.22 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.52/1.22
% 2.52/1.22
% 2.52/1.22 % ------
% 2.52/1.22 % Current options:
% 2.52/1.22 % ------
% 2.52/1.22
% 2.52/1.22
% 2.52/1.22 %
% 2.52/1.22
% 2.52/1.22 % ------ Proving...
% 2.52/1.22 %
% 2.52/1.22
% 2.52/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 2.52/1.22
% 2.52/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.52/1.22
% 2.52/1.22
%------------------------------------------------------------------------------