%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT268-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 : Tue Sep 29 11:48:08 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-4 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3,negated_conjecture,
c_in(v_x,v_S,t_a) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f4,plain,
true = c_in(v_x,v_S,t_a),
inference(reorient_equations,[],[f3]) ).
fof(f5,negated_conjecture,
c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f6,plain,
true != c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(reorient_equations,[],[f5]) ).
fof(f7,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(f8,axiom,
! [X2,X3,X0,X1] : ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2)),true,ifeq(c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)),true,ifeq(c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)),true,ifeq(c_in(X3,X0,X2),true,c_in(c_Pair(X3,c_Tarski_Olub(X0,X1,X2),X2,X2),c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__upper_0) ).
fof(f9,plain,
! [X2,X3,X0,X1] : true = ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2)),true,ifeq(c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)),true,ifeq(c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)),true,ifeq(c_in(X3,X0,X2),true,c_in(c_Pair(X3,c_Tarski_Olub(X0,X1,X2),X2,X2),c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)),true),true),true),true),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X2,X3,X0,X1] : ifeq(c_in(c_Pair(X0,X1,X2,X2),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X3,X2),X2,tc_Product__Type_Ounit),tc_prod(X2,X2)),true,c_in(c_Pair(X1,X0,X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0) ).
fof(f11,plain,
! [X2,X3,X0,X1] : true = ifeq(c_in(c_Pair(X0,X1,X2,X2),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X3,X2),X2,tc_Product__Type_Ounit),tc_prod(X2,X2)),true,c_in(c_Pair(X1,X0,X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)),true),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).
fof(f13,plain,
true = c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).
fof(f15,plain,
true = c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X2,X0,X1] : c_Tarski_Oglb(X0,X1,X2) = c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).
fof(f17,axiom,
! [X0,X1] : c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
fof(f18,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f19,plain,
true != c_in(c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(definition_unfolding,[],[f6,f16]) ).
fof(f20,plain,
! [X0,X1] : true = ifeq(c_in(c_Pair(X0,X1,t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true,c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)),true),
inference(superposition,[],[f11,f18]) ).
fof(f25,plain,
! [X0] : true = ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(X0,t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(c_in(X0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(true,true,c_in(c_Pair(v_x,c_Tarski_Olub(v_S,X0,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(X0,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),true),true),
inference(superposition,[],[f9,f4]) ).
fof(f32,plain,
! [X0] : true = ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(X0,t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(c_in(X0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,c_in(c_Pair(v_x,c_Tarski_Olub(v_S,X0,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(X0,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),true),
inference(forward_demodulation,[],[f25,f1]) ).
fof(f47,plain,
true = ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(true,true,c_in(c_Pair(v_x,c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),true),
inference(superposition,[],[f32,f15]) ).
fof(f50,plain,
true = ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,c_in(c_Pair(v_x,c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),
inference(forward_demodulation,[],[f47,f1]) ).
fof(f54,plain,
true = ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(true,true,c_in(c_Pair(v_x,c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),
inference(forward_demodulation,[],[f50,f13]) ).
fof(f58,plain,
true = ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,c_in(c_Pair(v_x,c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),
inference(forward_demodulation,[],[f54,f1]) ).
fof(f61,plain,
true = ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,c_in(c_Pair(v_x,c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),
inference(forward_demodulation,[],[f58,f17]) ).
fof(f63,plain,
true = ifeq(c_lessequals(v_S,v_A,tc_set(t_a)),true,c_in(c_Pair(v_x,c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),
inference(forward_demodulation,[],[f61,f7]) ).
fof(f65,plain,
true = ifeq(true,true,c_in(c_Pair(v_x,c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),
inference(forward_demodulation,[],[f63,f2]) ).
fof(f67,plain,
true = c_in(c_Pair(v_x,c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),
inference(forward_demodulation,[],[f65,f1]) ).
fof(f71,plain,
true = ifeq(true,true,c_in(c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),true),
inference(superposition,[],[f20,f67]) ).
fof(f77,plain,
true = c_in(c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(forward_demodulation,[],[f71,f1]) ).
fof(f81,plain,
$false,
inference(forward_subsumption_resolution,[],[f77,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT268-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 14:09:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.46 % (3558152)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (3558166)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2700158735_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % (3558167)% WARNING: option uhcvi not known.
% 0.10/0.46 % (3558169)dis+10_1_sil=32000:sp=arity:random_seed=1200181762:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (3558168)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1343746353:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (3558167)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2739043255:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (3558171)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3690382960:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (3558172)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4059058092:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (3558170)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4087608660:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (3558168) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3558152-3558168"...
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % (3558169) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3558152-3558169"...
% 0.10/0.46 % (3558170) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3558152-3558170"...
% 0.10/0.46 % (3558171) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3558152-3558171"...
% 0.10/0.46 % (3558168)...printing done.
% 0.10/0.46 % (3558169)...printing done.
% 0.10/0.46 % (3558170)...printing done.
% 0.10/0.46 % (3558168)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (3558168)------------------------------
% 0.16/0.46 % (3558168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (3558168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (3558168)CaDiCaL version: 2.1.3
% 0.16/0.46 % (3558168)Termination reason: Refutation
% 0.16/0.46 % (3558168)Time elapsed: 0.006 s
% 0.16/0.46 % (3558168)Peak memory usage: 11 MB
% 0.16/0.46 % (3558168)Instructions burned: 9 (million)
% 0.16/0.46 % (3558152)Success in time 0.051 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------