%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW950+1 : TPTP v9.3.1. Released v7.4.0.
% 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 03:30:34 PM UTC 2026
% Result : Theorem 3.09s 1.26s
% Output : CNFRefutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 51 ( 12 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 99 ( 49 ~; 42 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
pred_attacker(constr_ZERO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f56,axiom,
! [X0] :
( pred_attacker(tuple_T_out_4(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f58,axiom,
! [X0] :
( pred_attacker(tuple_T_out_2(X0))
=> pred_attacker(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f59,axiom,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(tuple_T_in_3(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f62,axiom,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_T_in_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
fof(f74,axiom,
! [X0] :
( pred_attacker(tuple_T_in_1(X0))
=> pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
fof(f75,axiom,
! [X0,X1] :
( ( pred_attacker(tuple_T_in_1(X1))
& pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) )
=> pred_attacker(tuple_T_out_4(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f76,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(f77,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[status(cth)],[f76]) ).
fof(f78,plain,
~ pred_attacker(name_objective),
inference(flattening,[],[f77]) ).
fof(f84,plain,
! [X0] :
( ~ pred_attacker(tuple_T_out_4(X0))
| pred_attacker(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f86,plain,
! [X0] :
( ~ pred_attacker(tuple_T_out_2(X0))
| pred_attacker(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f87,plain,
! [X0,X1] :
( ~ pred_attacker(X1)
| ~ pred_attacker(X0)
| pred_attacker(tuple_T_in_3(X0,X1)) ),
inference(ennf_transformation,[],[f59]) ).
fof(f88,plain,
! [X0,X1] :
( ~ pred_attacker(X1)
| ~ pred_attacker(X0)
| pred_attacker(tuple_T_in_3(X0,X1)) ),
inference(flattening,[],[f87]) ).
fof(f91,plain,
! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_T_in_1(X0)) ),
inference(ennf_transformation,[],[f62]) ).
fof(f97,plain,
! [X0] :
( ~ pred_attacker(tuple_T_in_1(X0))
| pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
inference(ennf_transformation,[],[f74]) ).
fof(f98,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_T_in_1(X1))
| ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| pred_attacker(tuple_T_out_4(name_objective)) ),
inference(ennf_transformation,[],[f75]) ).
fof(f99,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_T_in_1(X1))
| ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| pred_attacker(tuple_T_out_4(name_objective)) ),
inference(flattening,[],[f98]) ).
fof(f153,plain,
pred_attacker(constr_ZERO),
inference(cnf_transformation,[],[f54]) ).
fof(f155,plain,
! [X0] :
( ~ pred_attacker(tuple_T_out_4(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f157,plain,
! [X0] :
( ~ pred_attacker(tuple_T_out_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f158,plain,
! [X0,X1] :
( ~ pred_attacker(X1)
| ~ pred_attacker(X0)
| pred_attacker(tuple_T_in_3(X0,X1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f161,plain,
! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_T_in_1(X0)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f172,plain,
! [X0] :
( ~ pred_attacker(tuple_T_in_1(X0))
| pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
inference(cnf_transformation,[],[f97]) ).
fof(f173,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_T_in_1(X1))
| ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| pred_attacker(tuple_T_out_4(name_objective)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f174,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f78]) ).
tcf(c_102,plain,
pred_attacker(constr_ZERO),
inference(cnf_transformation,[],[f153]) ).
tcf(c_104,plain,
! [X0: $i] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_T_out_4(X0)) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_106,plain,
! [X0: $i] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_T_out_2(X0)) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( pred_attacker(tuple_T_in_3(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_110,plain,
! [X0: $i] :
( pred_attacker(tuple_T_in_1(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_121,plain,
! [X0: $i] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(X0)) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(X1))
| ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_123,negated_conjecture,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f174]) ).
tcf(c_125,plain,
( pred_attacker(tuple_T_in_1(constr_ZERO))
| ~ pred_attacker(constr_ZERO) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_151,plain,
! [X0: $i] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(X0) ),
inference(prop_impl_just,[status(thm)],[c_110,c_121]) ).
tcf(c_535,plain,
! [X0: $i] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(X0) ),
inference(prop_impl_just,[status(thm)],[c_151]) ).
tcf(c_876,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ pred_attacker(tuple_T_in_1(X0)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_122]) ).
tcf(c_877,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_122]) ).
tcf(c_878,plain,
( iPr_def_11
| iPr_def_10
| pred_attacker(tuple_T_out_4(name_objective)) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_122]) ).
tcf(c_879,negated_conjecture,
~ pred_attacker(name_objective),
inference(demodulation,[status(thm)],[c_123]) ).
tcf(c_895,plain,
( ~ iPr_def_10
| ~ pred_attacker(tuple_T_in_1(constr_ZERO)) ),
inference(instantiation,[status(thm)],[c_876]) ).
tcf(c_1638,plain,
( iPr_def_11
| pred_attacker(tuple_T_out_4(name_objective)) ),
inference(global_subsumption_just,[status(thm)],[c_878,c_102,c_125,c_895,c_878]) ).
tcf(c_1664,plain,
( iPr_def_11
| pred_attacker(name_objective) ),
inference(superposition,[status(thm)],[c_1638,c_104]) ).
tcf(c_1665,plain,
iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_1664,c_879]) ).
tcf(c_1675,plain,
! [X0: $i] :
( pred_attacker(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))
| ~ pred_attacker(X0) ),
inference(superposition,[status(thm)],[c_535,c_106]) ).
tcf(c_1678,plain,
( pred_attacker(constr_h(constr_xor(constr_ZERO,constr_xor(name_k0x30,name_ki))))
| ~ pred_attacker(constr_ZERO) ),
inference(instantiation,[status(thm)],[c_1675]) ).
tcf(c_2170,plain,
! [X0: $i] : ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))),
inference(global_subsumption_just,[status(thm)],[c_877,c_877,c_1665]) ).
tcf(c_2173,plain,
! [X0: $i] :
( ~ pred_attacker(X0)
| ~ pred_attacker(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))) ),
inference(superposition,[status(thm)],[c_107,c_2170]) ).
tcf(c_2184,plain,
( ~ pred_attacker(constr_ZERO)
| ~ pred_attacker(constr_h(constr_xor(constr_ZERO,constr_xor(name_k0x30,name_ki)))) ),
inference(instantiation,[status(thm)],[c_2173]) ).
tcf(c_2185,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2184,c_1678,c_102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW950+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.34 % Computer : n006.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Thu Sep 24 23:14:11 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39
% 0.13/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.39
% 0.13/0.39 % Detected problem language: tptp
% 0.13/0.40 % Proving...
% 3.09/1.26 % SZS status Started for theBenchmark.p
% 3.09/1.26 % SZS status Theorem for theBenchmark.p
% 3.09/1.26
% 3.09/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.09/1.26
% 3.09/1.26 % ------ iProver source info
% 3.09/1.26
% 3.09/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 3.09/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.09/1.26 % git: non_committed_changes: false
% 3.09/1.26
% 3.09/1.26 % ------ Parsing...
% 3.09/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.09/1.26
% 3.09/1.26 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.09/1.26
% 3.09/1.26 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.09/1.26
% 3.09/1.26 % ------ Preprocessing... sf_s rm: 2 0s sf_e sf_s rm: 0 0s sf_e
% 3.09/1.26 % ------ Proving...
% 3.09/1.26 % ------ Problem Properties
% 3.09/1.26
% 3.09/1.26 %
% 3.09/1.26 % clauses 75
% 3.09/1.26 % conjectures 1
% 3.09/1.26 % EPR 55
% 3.09/1.26 % Horn 74
% 3.09/1.26 % unary 60
% 3.09/1.26 % binary 12
% 3.09/1.26 % lits 93
% 3.09/1.26 % lits eq 49
% 3.09/1.26 % fd_pure 0
% 3.09/1.26 % fd_pseudo 0
% 3.09/1.26 % fd_cond 0
% 3.09/1.26 % fd_pseudo_cond 0
% 3.09/1.26 % AC symbols 1
% 3.09/1.26
% 3.09/1.26 % ------ Schedule dynamic 5 is on
% 3.09/1.26
% 3.09/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.09/1.26
% 3.09/1.26
% 3.09/1.26 % ------
% 3.09/1.26 % Current options:
% 3.09/1.26 % ------
% 3.09/1.26
% 3.09/1.26
% 3.09/1.26 %
% 3.09/1.26
% 3.09/1.26 % ------ Proving...
% 3.09/1.26 %
% 3.09/1.26
% 3.09/1.26 % SZS status Theorem for theBenchmark.p
% 3.09/1.26
% 3.09/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.09/1.26
% 3.09/1.26
%------------------------------------------------------------------------------