TSTP Solution File: LAT276-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT276-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 13:21:33 EDT 2024
% Result : Unsatisfiable 0.16s 0.33s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 36 ( 12 unt; 0 def)
% Number of atoms : 75 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 30 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75,plain,
$false,
inference(subsumption_resolution,[],[f74,f47]) ).
fof(f47,plain,
c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(unit_resulting_resolution,[],[f1,f46,f11]) ).
fof(f11,axiom,
! [X8,X7] :
( ~ c_in(X8,X7,t_a)
| ~ c_lessequals(X7,v_A,tc_set(t_a))
| c_in(c_Pair(X8,c_Tarski_Olub(X7,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f46,plain,
c_in(v_xa,v_S,t_a),
inference(subsumption_resolution,[],[f45,f17]) ).
fof(f17,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
inference(superposition,[],[f4,f12]) ).
fof(f12,axiom,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f4,axiom,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f45,plain,
( c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
inference(subsumption_resolution,[],[f44,f13]) ).
fof(f13,plain,
( c_in(v_xa,v_A,t_a)
| c_in(v_xa,v_S,t_a) ),
inference(superposition,[],[f3,f8]) ).
fof(f8,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f3,axiom,
( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f44,plain,
( ~ c_in(v_xa,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
inference(subsumption_resolution,[],[f43,f1]) ).
fof(f43,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_xa,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
inference(resolution,[],[f10,f29]) ).
fof(f29,plain,
( c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
inference(forward_demodulation,[],[f28,f12]) ).
fof(f28,plain,
( c_in(v_xa,v_S,t_a)
| c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
inference(duplicate_literal_removal,[],[f25]) ).
fof(f25,plain,
( c_in(v_xa,v_S,t_a)
| c_in(v_xa,v_S,t_a)
| c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
inference(resolution,[],[f24,f6]) ).
fof(f6,axiom,
! [X1] :
( ~ c_in(X1,v_S,t_a)
| c_in(v_xa,v_S,t_a)
| c_in(c_Pair(X1,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f24,plain,
( c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| c_in(v_xa,v_S,t_a) ),
inference(subsumption_resolution,[],[f23,f17]) ).
fof(f23,plain,
( c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
inference(resolution,[],[f22,f1]) ).
fof(f22,plain,
! [X0] :
( ~ c_lessequals(X0,v_A,tc_set(t_a))
| c_in(v_sko__4mP(v_xa,X0,v_r),X0,t_a)
| c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
inference(resolution,[],[f9,f13]) ).
fof(f9,axiom,
! [X6,X7] :
( ~ c_in(X6,v_A,t_a)
| ~ c_lessequals(X7,v_A,tc_set(t_a))
| c_in(v_sko__4mP(X6,X7,v_r),X7,t_a)
| c_in(c_Pair(c_Tarski_Olub(X7,v_cl,t_a),X6,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f10,axiom,
! [X6,X7] :
( ~ c_in(c_Pair(v_sko__4mP(X6,X7,v_r),X6,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X7,v_A,tc_set(t_a))
| ~ c_in(X6,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(X7,v_cl,t_a),X6,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).
fof(f1,axiom,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f74,plain,
~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(forward_demodulation,[],[f73,f12]) ).
fof(f73,plain,
~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),
inference(subsumption_resolution,[],[f72,f64]) ).
fof(f64,plain,
~ c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(unit_resulting_resolution,[],[f48,f1,f62,f10]) ).
fof(f62,plain,
~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(unit_resulting_resolution,[],[f47,f38]) ).
fof(f38,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(forward_demodulation,[],[f37,f12]) ).
fof(f37,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
inference(superposition,[],[f5,f12]) ).
fof(f5,axiom,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f48,plain,
c_in(v_xa,v_A,t_a),
inference(unit_resulting_resolution,[],[f1,f46,f7]) ).
fof(f7,axiom,
! [X2,X3,X4,X5] :
( ~ c_in(X2,X3,X4)
| c_in(X2,X5,X4)
| ~ c_lessequals(X3,X5,tc_set(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f72,plain,
( c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
inference(forward_demodulation,[],[f68,f12]) ).
fof(f68,plain,
( c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
inference(resolution,[],[f65,f2]) ).
fof(f2,axiom,
! [X0] :
( ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f65,plain,
c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a),
inference(unit_resulting_resolution,[],[f48,f1,f62,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT276-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n008.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 21:36:57 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % (24169)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (24172)WARNING: value z3 for option sas not known
% 0.16/0.32 % (24171)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (24172)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (24173)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (24175)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.33 % (24170)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (24174)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.33 % (24176)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 % (24176)First to succeed.
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 % (24174)Also succeeded, but the first one will report.
% 0.16/0.33 % (24172)Also succeeded, but the first one will report.
% 0.16/0.33 % (24176)Refutation found. Thanks to Tanya!
% 0.16/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.33 % (24176)------------------------------
% 0.16/0.33 % (24176)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.33 % (24176)Termination reason: Refutation
% 0.16/0.33
% 0.16/0.33 % (24176)Memory used [KB]: 770
% 0.16/0.33 % (24176)Time elapsed: 0.005 s
% 0.16/0.33 % (24176)Instructions burned: 8 (million)
% 0.16/0.33 % (24176)------------------------------
% 0.16/0.33 % (24176)------------------------------
% 0.16/0.33 % (24169)Success in time 0.021 s
%------------------------------------------------------------------------------