%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MSC005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n007.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 02:13:56 PM UTC 2026
% Result : Unsatisfiable 2.02s 1.30s
% Output : CNFRefutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 15 unt; 4 def)
% Number of atoms : 71 ( 4 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 48 ( 26 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
value(truth,truth),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_is_true) ).
fof(f2,axiom,
value(falsity,falsity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_is_false) ).
fof(f3,axiom,
! [X0,X1] :
( value(xor(X0,X1),falsity)
| ~ value(X1,truth)
| ~ value(X0,truth) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_xor_true) ).
fof(f4,axiom,
! [X0,X1] :
( value(xor(X0,X1),truth)
| ~ value(X1,falsity)
| ~ value(X0,truth) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_xor_false) ).
fof(f6,axiom,
! [X0,X1] :
( value(xor(X0,X1),falsity)
| ~ value(X1,falsity)
| ~ value(X0,falsity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_xor_false) ).
fof(f7,negated_conjecture,
! [X0] : ~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',evaluate_expression) ).
tcf(c_56,plain,
value(truth,truth),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
value(falsity,falsity),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( value(xor(X0,X1),falsity)
| ~ value(X1,truth)
| ~ value(X0,truth) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( value(xor(X0,X1),truth)
| ~ value(X1,falsity)
| ~ value(X0,truth) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( value(xor(X0,X1),falsity)
| ~ value(X1,falsity)
| ~ value(X0,falsity) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,negated_conjecture,
! [X0: $i] : ~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),X0),
inference(cnf_transformation,[],[f7]) ).
tcf(c_97,definition,
iPr_def_10 = xor(truth,falsity),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_98,definition,
iPr_def_11 = xor(iPr_def_10,falsity),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_99,definition,
iPr_def_12 = xor(iPr_def_11,truth),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_100,definition,
iPr_def_13 = xor(iPr_def_12,falsity),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_101,negated_conjecture,
! [X0: $i] : ~ value(iPr_def_13,X0),
inference(demodulation,[status(thm)],[c_62,c_97,c_98,c_99,c_100]) ).
tcf(c_238,plain,
( value(iPr_def_12,falsity)
| ~ value(iPr_def_11,truth)
| ~ value(truth,truth) ),
inference(superposition,[status(thm)],[c_99,c_58]) ).
tcf(c_243,plain,
( value(iPr_def_12,falsity)
| ~ value(iPr_def_11,truth) ),
inference(forward_subsumption_resolution,[status(thm)],[c_238,c_56]) ).
tcf(c_264,plain,
( value(iPr_def_10,truth)
| ~ value(falsity,falsity)
| ~ value(truth,truth) ),
inference(superposition,[status(thm)],[c_97,c_59]) ).
tcf(c_265,plain,
( value(iPr_def_11,truth)
| ~ value(iPr_def_10,truth)
| ~ value(falsity,falsity) ),
inference(superposition,[status(thm)],[c_98,c_59]) ).
tcf(c_272,plain,
( value(iPr_def_11,truth)
| ~ value(iPr_def_10,truth) ),
inference(forward_subsumption_resolution,[status(thm)],[c_265,c_57]) ).
tcf(c_275,plain,
value(iPr_def_10,truth),
inference(forward_subsumption_resolution,[status(thm)],[c_264,c_57,c_56]) ).
tcf(c_276,plain,
value(iPr_def_11,truth),
inference(backward_subsumption_resolution,[status(thm)],[c_272,c_275]) ).
tcf(c_306,plain,
( value(iPr_def_13,falsity)
| ~ value(iPr_def_12,falsity)
| ~ value(falsity,falsity) ),
inference(superposition,[status(thm)],[c_100,c_61]) ).
tcf(c_307,plain,
~ value(iPr_def_12,falsity),
inference(forward_subsumption_resolution,[status(thm)],[c_306,c_101,c_57]) ).
tcf(c_311,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_307,c_276,c_243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 01:24:39 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 2.02/1.30 % SZS status Started for theBenchmark.p
% 2.02/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 2.02/1.30
% 2.02/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.02/1.30
% 2.02/1.30 % ------ iProver source info
% 2.02/1.30
% 2.02/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 2.02/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.02/1.30 % git: non_committed_changes: false
% 2.02/1.30
% 2.02/1.30 % ------ Parsing...% successful
% 2.02/1.30
% 2.02/1.30
% 2.02/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.02/1.30
% 2.02/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.02/1.30
% 2.02/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.02/1.30
% 2.02/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.02/1.30 % ------ Proving...
% 2.02/1.30 % ------ Problem Properties
% 2.02/1.30
% 2.02/1.30 %
% 2.02/1.30 % clauses 11
% 2.02/1.30 % conjectures 1
% 2.02/1.30 % EPR 3
% 2.02/1.30 % Horn 11
% 2.02/1.30 % unary 7
% 2.02/1.30 % binary 0
% 2.02/1.30 % lits 19
% 2.02/1.30 % lits eq 4
% 2.02/1.30 % fd_pure 0
% 2.02/1.30 % fd_pseudo 0
% 2.02/1.30 % fd_cond 0
% 2.02/1.30 % fd_pseudo_cond 0
% 2.02/1.30 % AC symbols 0
% 2.02/1.30
% 2.02/1.30 % ------ Schedule dynamic 5 is on
% 2.02/1.30
% 2.02/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.02/1.30
% 2.02/1.30
% 2.02/1.30 % ------
% 2.02/1.30 % Current options:
% 2.02/1.30 % ------
% 2.02/1.30
% 2.02/1.30
% 2.02/1.30 %
% 2.02/1.30
% 2.02/1.30 % ------ Proving...
% 2.02/1.30 %
% 2.02/1.30
% 2.02/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 2.02/1.30
% 2.02/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.02/1.30
% 2.02/1.30
%------------------------------------------------------------------------------